new codes from 061008

binary: 1 improvement + 1 derived
ternary: 4 improvement + 7 derived
q=4:
q=5:2 optimal + 7 improvement + 12 derived
q=7: 3 improvement + 1 derived
q=8: 1 improvement + 2 derived
q=9:

binary q=2

q=2 k=13 n=172 d=76
(using a program of Johannes Zwanzger)
( link )

generator matrix:
0000000000001111111111111111110000000000000000000011111111111100000000000000000011111111111100000000000000000011111111111100000111111111100000000000000000000111111111100011
0000001111110000001111111111110000000000111111111100111111111100001111111111111100000011111100000000000011111100000011111111111000001111100000000001111111111001111111100101
0000110011111111110000011111110000111111000011111111000111110100000000111111111100001100111100000111111100011100011101111100011000010001100000011110000111111110000011110101
0000000101110000110111100011110001011111000100011111001111111101110011000001111101110000011100111000111100101101100100011101101000110010000001100010011000111010000100000101
0111011100111111001111101111110010000111011000001111010011110110110100000110001100011101111101001011001100010110000111100100100011010101101111100000101111011010000100110000
0001001011110001001001111100010100101000100100110101000000011101010101001000110101110110011111001101001101010100101110001111001101000000110011101111010011100100011101100101
0110110010010111011111100100111100001111001000110100111100111101000001010001010100001011000101110011001111100000000100101100010001101010101110000000100011101100001000011101
0000101101110010001110100011110000110001101100100101000000110100110111011010111110101101001001011011011110011101010010100000101101011110111100110000010101110100110101001101
1011101100000000111111101100010000110000110100100011000001010011110000100010110011001100010111010000101101000101010011011010000001010111000101100101001111001000010001011101
1000101011101011100111000100100111101001111111011011000011101000100011000011011111010000010011100101011100101001111000000011110001110100111110100000011010000011011111010101
0101101001010101101001000111011111101001110000100010100110101010110001010001010100001000111001110011001100011111111000101100010001100101000110110111001001001111010000110011
0100011000101100110010010001000110110011100001101000111010011001000100101111100010110010100100011010000101100011111111101001110111011100001101011001011001100101100101001011
1101101101010010101101001001001001010111011100001000010000000101101100000111111010010000111111001111011101101000001011101101100110110110110101011100011011110111010101110110
mindist=76
weight enumerator=1 [0]  1113 [76]  1320 [80]  1908 [84]  1110 [88]  1836 [92]  750 [96]  
150 [100]  3 [112]  1 [124]  
This is a self-orthogonal code

ternary q=3

q=3 k=10 n=181 d=108 
(using  automorphisms)
( link )

code with group 79738 

generator matrix:
0000000011111111111111110000000001111111111111110000000011111111111111110000000011111111111111110000000000001111111111110000000000011111111111110011111100000111111111111111111111011
0011111100011112222222220000011110111111122222220000011100000011111112220001111100000111222222220000011111110000000122221111111111100111111222221100112200111000111111111111111111011
0100012201200000011112220111100122000001100001220111112200122200111221221110011202222001000111220011101122220011112101220000011122200011122000120212120111012012000111111122222222011
1101210110202220200022221022222111011120200022121011211201111211012002120220001110011120002002121101220100120211222110120011200200122112200002100001202202122110012011122200001101011
1211110122010122122210010112201001200220201220220222111002222111122022021020221002201020121022221200211011012102022200011200211012022110022011011012210222121100201002201200222221011
0200000101100122001221201120222201201202011101122001211202112201222020222200001110001220011221112221111202202222201122110212122102001122222022020120022200200002010110122002220201000
0102101020222022212102021222012021210122100110121112112112000111212021020220221000122122222222122122001202200102020022120112202120112120211012120111012200011200100202200111121022102
0022110121210200020112010101010012121010222002210120020110201101022120110112120222210110110122200102102122121012111202012210002102120020101012210222010200011110202121002101201120000
1212101001211020210010122101010101221001021012020112000112200200112002101000212210100002012012100022222001211002210220022002022202000110222222120121210220112112011221002100010211201
2012002002210200120011000100012100210211021110210122201210220210012211212010120220121212022022112020200111121211001012002212010100102121212001000012002122120021101112022110111021121
corresponding to the solution:
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0
,0]
mindist=108
weight enumerator=1 [0]  2352 [108]  3680 [111]  6952 [114]  9088 [117]  10984 [120]  9074
 [123]  8048 [126]  5252 [129]  2568 [132]  896 [135]  154 [138]

q=3 k=10 n=187 d=111 
using  automorphisms)
( link )

code with group 126558 

generator matrix:
0000111100111111000011111111111100111111011111110000111101111111001111110001111101111111000011110011111101111111000011110011111100111111001111110000111100111111011101110000111100001111110
0011002201012222001100220001122211001122101122220111122210112222010122220110012210000112001100220100001200001222111101121100112201000012010000121111011211001122101210121111011201110001110
0112121202110122010201020120101202000022110111220012001221110122020000221020110220112122110000121000020200120012011221110001020101012211100112210011002102020200112022100012012010010012110
1022022212111202111002221102112210010012111001020221202222122112110212110100210100121221121200211000211011020000012020122200020212112201021020010222101100022102101221021110000000112211110
2011200021111020100211000101011212022202122121010220001110100110120111022211121120212000000112201202202201210010221111010110010010210212002010200202110022010112011120210120100111221220110
1112112012200210001010210110010101110210202220021121211020011120002121021121101101101010022201000012201200020221120110101120120010202220020201110200211022211211022212010011220001010202000
0000222212002212021202200220210001020201212021020021110201000211200201020210200211002022100110212202110200120012112020212212022012212020101201112222022111000110022200001001201002012100201
0222002021021100110202000112221202221002011120021220002020122020010202210102102021022000211120211200210101011020212121221210020100212110020212202020101010120220210201112221122000111100000
2211120122202202101210100022200202101020120101121011101020002011010211001220222201220012201012200100001201020210021201210112122010221201010000122010200202212122011120212002102022211101102
1200100121200001000101122212021210211102221001111210100021212210120022211022010021001020102111110201010002111100122101202110222221011112002010200020102211011011022222101210120000012112121
corresponding to the solution:
[0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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]
mindist=111
weight enumerator=1 [0]  1440 [111]  3290 [114]  6184 [117]  7840 [120]  10322 [123]  10312
 [126]  8048 [129]  6144 [132]  3928 [135]  1140 [138]  368 [141]  32 [144
]

q=3 k=10 n=195 d=117 
(using  automorphisms)
( link )

code with group 107876 

generator matrix:
000000000111111111111111110000000000001111111111111100000011111111111111111111000000000111111111111111110000001111111111111111111101111111111110000000011111111111111111100000000000011111111111111
000001111000000111111122220000111111110000111112222200111100000000011112222222001111111000000111111122220111110000000000111112222200000001112220111111100000001111111222200111111111100000011112222
011110112001122001122211220111011112221112000220111211001200001111201120000022110122222011122000111102221022220001112222000110011210112221221221000112200001220000122000200001111112201112201110001
101220122010211121201212021122000120122220012020012222020100111222110111112202122100112211212012001210121112220020020002012222201110010222121010022120100222110011002012011010011122211122220010112
212020020211112111101121021112111022220112211100200222001122121122001010221212101222001211220202010111000211121110100020022020122222210122122210002000011011120022221221011200012220010210110210121
011202200110002110021112221221001011121022221220022200100122110012220122011012111002012012200221022020220110021220000002112020211022102000020202201012011222010000210021012200112210200012022201220
000021111101112020000222012012002220021110010100110202100202222200112202020010211110010122022001000002122100010202221100021001120111011000121112201110202100111201011210121212000012202211021010221
211222111112111212021011022012020000220220022110200102210122100212202102102200021210211111110001001101102121211111110222001112200010112220112001022122010101010102022000111212220000121021211000021
021021002111001200121222011211121100022020000212012220121100100110222101021012110212020000211012200112221211110222000010202011121022222211012121011011022102022210110022111202221221210221201121121
101012210200202011211221100220210021222101220222002220111001202212012010111220001222212122201122222012021211112102012120111020111211212002100120220212110021000101120120012020012121112202202200101
corresponding to the solution:
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mindist=117
weight enumerator=1 [0]  2288 [117]  3770 [120]  7020 [123]  8346 [126]  9386 [129]  10374
 [132]  7800 [135]  5538 [138]  3146 [141]  988 [144]  312 [147]  52 [150
]  26 [153]  2 [156]

q=3 k=10 n=204 d=123 
(using  automorphisms)
( link )

code with group 79016 

generator matrix:
000000001111111111110111000001111111111111110011111111111111111100000000111111111111000000000001111111110000011111111111111100000000111111111111000001111111111111110000000011111111111100000000111111111111
000001110001112222221012011110000111111122220100001111111222222211111111000001111122000001111110001112220001100111112222222200001111011111112222011110000111111122220001111100111112222200111111000000111111
000110020120110111222102002220122011112201221201120011112001122200001222111220111212001110011221121120221110101111110001222201110011000011120112001220012000012200011110111101011120011111000012000012000222
011020112001122222221012111222112101221220220202211201222110011202222001001000001022110021201020000211111220122001220001001110120112112201111020111010112011210201120120011220012211211222001200001212012012
011002222120022122222102220001012222111000021020201222021122202100020021111011122020120122211111101212222010022001000122020000212012221112211020101102222012110201112101101121100001202001122101121102121010
002120012212222002000111001121001121010122001220111101201120202100211010122100220101111022111101201202012020001011020212021212111121000010220010202220221121101200111110200121120211021201211200111102202122
022122222101020112020222010100110102010002010210110220211200010111210200000112202022021221211021102012020010200102020200122021121201120210120201111102111221010200111011001100210001111202210221001100022210
021022021201122212012102201012100000021200101002011120020002100002210211010121112210021020201102021010212011011200102010021102022221100000201221021022202001120102022102000100121112220000100122110202020211
010001220112200201210222002201101220112200201200210201212011121122011002202000122120022112110111200212012100001002202000022122111211000020001021212010002221000101121001200000210001012222221012022220110011
111100121102120121012210022011112010110111220210101210222121122012212102021120122001012221020000101212020101211100220020220221012210121012211001211110211212102002102102122022000021101020002122011221212012
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0]
mindist=123
weight enumerator=1 [0]  2320 [123]  4760 [126]  6200 [129]  8240 [132]  9200 [135]  9600
 [138]  8600 [141]  5800 [144]  2520 [147]  1360 [150]  368 [153]  40 [156
]  40 [162]

q=4

q=5

q=5 k=5 n=84 d=64
(using  automorphisms)
( link )

code with group 15893 

generator matrix:
000000001111111111111111111111111111111111111111111111111111111111111111000000000000
000011110000000011223344112233441122334411223344112233441122334411223344111111111100
111100001122334400000000442233113344112211332244334411224422331144223311114422330011
001400141423231414232314142323140000000014232314231414232314142323141423232314142300
140014003241413214323214412323411423231400000000234141232341412341323241233232230023
corresponding to the solution:
[0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0]
mindist=64
weight enumerator=1 [0]  964 [64]  368 [65]  656 [66]  192 [69]  224 [70]  448 [71]  144
 [74]  32 [75]  96 [76]

q=5 k=5 n=91 d=70 optimal
(using automorphisms)
( link )

code with group 16410 

generator matrix:
0001111111111111111111111111111111111111111111111110000111111001111111100111001111111100011
0110011122223333122332233444444111122334411112233441111000044110011223301023110011223300101
1010012312231233213234444223344233414111223441312111144004400111202013310203442323010101010
1000113212411134241343322121323324322233444234243440404141400121120110312010234432203010100
0101011134212143423141213332232223334243244444342234010410014212111103021100232300434211000
corresponding to the solution:
[0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0
,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0]
mindist=70
weight enumerator=1 [0]  1760 [70]  984 [75]  360 [80]  20 [85]

q=5 k=5 n=98 d=75 
(extension of a code with  automorphisms)
( link )

generator matrix:
00111111110011111111000011111111111111110001111111001111111111111111111111100111111110011111111101
11111223331111222234111112233411222333441111113344111233334411223111122223300000000000000000000000
12012012331224234434112433424412234113143340243423024400242300224114400441211012233440101222223313
11001003032244343423244223311111220030000101100044444412213333114333311114424124413231331123442000
14012123014322222121233403320420141244140312303403224013321023011040112040204411211010320000031222
mindist=75
weight enumerator=1 [0]  1484 [75]  1180 [80]  420 [85]  40 [90]

q=5 k=5 n=128 d=100  optimal

( link )

generator matrix:
01111111100011111110001111111000111111100111111110000111111001111111111111111110011111111001111111101111000011111111111111111011
11112233311111224441111122444111111334411112222341111122334111233334411222333441111222234111122223411144111111333311112222330100
20120123312314131341240303004011013040412242344341124334244024400242301011134033402023322041401344120011004423003311440044123133
10010030310100224000110022040001101004422443434232442233111444412213311202030002244343423224443342333322333333444433331111440100
40121230130431121403011410241404443102443222221212334033204224013321003200033423233404402401130044031412120441011204011204022122
mindist=100
weight enumerator=1 [0]  2220 [100]  400 [105]  400 [110]  100 [115]  4 [125]

q=5 k=6 n=49 d=34 
(using automorphisms)
( link )

code with group 126155 
generator matrix:
0011111011111111111111111111001111100111110111111
0100234000244401123441122344111124411112340011334
0324344124423440201242323233023402324121000112340
0110131003002422011200131133420234211033031212042
0111132412123122431122033104210141032104024044402
1231440141310431400302342344300013213322433301323
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=34
weight enumerator=1 [0]  812 [34]  896 [35]  1400 [36]  1400 [37]  1960 [38]  1624 [39]  
1932 [40]  2072 [41]  1512 [42]  1260 [43]  504 [44]  196 [45]  28 [46
]  28 [47]

q=5 k=6 n=54 d=38 
(using automorphisms)
( link )

code with group 58512 
generator matrix:
000000000000001111111111111111111111111111111111111111
000001111111110000111123444400011112344440111222333444
001110000113440334234432224402423443400041023111013002
000230123120020331113322121230031020111214424044023030
012021442203100024243434000412213313213213333001104034
142132231131110444444444444422222222222221111111111111
corresponding to the solution:
[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=38
weight enumerator=1 [0]  1144 [38]  988 [39]  1408 [40]  896 [41]  1248 [42]  2132 [43]  
2184 [44]  2652 [45]  1092 [46]  780 [47]  780 [48]  104 [49]  104 [50
]  52 [51]  52 [52]  4 [53]  4 [54]

q=5 k=6 n=71 d=51 
(using automorphisms)
( link )

code with group 54373 
generator matrix:
00011111110001111111011111111101111111110111111111001111111100011111111
01101234441110001444111123333410012344440233333344110011234411100223440
03314322330012234134411320024423413400140312334424033402112203344132110
03414334032334404024123021403412113223231003443433044244130120423203140
00100144102341332233331222133212333124130200020131441123121203044000110
14124144123414421142444311442324111243214214421131223332434113344313110
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]
mindist=51
weight enumerator=1 [0]  800 [51]  1080 [52]  1540 [53]  680 [54]  1456 [55]  1800 [56]  
1640 [57]  2060 [58]  580 [59]  1324 [60]  1200 [61]  880 [62]  500 [63
]  40 [64]  40 [65]  4 [70]

q=5 k=6 n=75 d=54
(using automorphisms)
( link )

code with group 58307 
generator matrix:
000111111111011111111111000111111111011111111111111111111111011111111111111
011001112224100002444444011001244444100112222444001222333444100012223334113
013131440230412230001124124234401234304232334133140244224223302430141242443
034222241102211103020141403023114411302023122313102012002033301024143011232
020331221342440323103341013101214230411220012414023400232343033044044421430
111223000132302402303312434123244313023231310043240414004100322333113240404
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=54
weight enumerator=1 [0]  816 [54]  1104 [55]  1032 [56]  816 [57]  1908 [58]  1608 [59]  
1216 [60]  1836 [61]  780 [62]  1516 [63]  1776 [64]  384 [65]  480 [66
]  240 [67]  96 [68]  12 [71]  4 [72]

q=5 k=6 n=84 d=61
(using automorphisms)
( link )

code with group 56052 
generator matrix:
000000001111111111111111111111111111111111111111111111111111111111111111111111111111
111111110000000011112222333344441234111122223333444411112222333344441111222233334444
112233441122334402440113011302443223033302220222033300220033003300220111044404440111
241313241423142340242120334010133412303340441011202202020101040403031011303320224044
231441322211443344021031130144203223330322022202330322003300330022001101440444041101
132424132314324124401202403331013412333044401110222020201010404030301110333022204440
corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
mindist=61
weight enumerator=1 [0]  672 [61]  1216 [62]  976 [63]  1000 [64]  1504 [65]  1856 [66]  
1360 [67]  1120 [68]  1344 [69]  1408 [70]  1088 [71]  1120 [72]  304 [73
]  288 [74]  192 [75]  104 [76]  64 [77]  8 [84]

q=7

q=7 k=6 n=65 d=49 
(using automorphisms)
( link )

code with group 126538 
generator matrix:
00001111111111111111100111111111111111111111111111111111111111111
01112224455566012566600111133455666001233455566660011112335555613
00351341401212042101611035616466556051424345612550303554141233300
00253634261364031115514322064025134146124406501565036232560246400
04002160224000526153662213643123531331542615131666032504003050000
12361431112444000000056626412242122145233254645113651612335264300
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]
mindist=49
weight enumerator=1 [0]  1860 [49]  3192 [50]  4872 [51]  6300 [52]  9870 [53]  12138 [54
]  13398 [55]  16620 [56]  17388 [57]  13356 [58]  9282 [59]  5418 [60
]  2268 [61]  1302 [62]  384 [63]

q=7 k=6 n=100 d=78 
(using automorphisms)
( link )

code with group 125714 
generator matrix:
0001111111111111111100001111111111111111000111111111111111110011111111111111111101111111111111111111
0110011122234444456611111233334444556666111000112223333455661100111234555556666610001122223334555566
0444511513540256600501111633560045352466144026351460235616261615055111011441225560162614451154035622
0050436311263644406414566515553545162516425615420042621542644013004231656141351603403350653416065526
0464214102124012300324530011226033052455512253101621363002366561434561665631152006601425130202660116
1502234452241123014540033251134500325144510516534342501332524131022251444014414613551651311400216031
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0]
mindist=78
weight enumerator=1 [0]  1440 [78]  3240 [79]  5400 [80]  6240 [81]  7200 [82]  8280 [83
]  11400 [84]  9624 [85]  12360 [86]  14640 [87]  11640 [88]  9960 [89
]  6984 [90]  4080 [91]  3360 [92]  840 [93]  600 [94]  240 [95]  120 [96
]

q=7 k=7 n=89 d=66
(using a program of Johannes Zwanzger)
( link )

generator matrix:
00000000111111111111111111111000000011111111111111111111110000111111111111111111111111101
00001111000001111133333666666001111100011112223333444566661111000001122223344555566666600
01111156135560033422456122566111125602312360251126256234661226033550200261301145611455611
02464661500451416446340406006120335225130466650311234050152451525463035031566426116011206
05532123345223066252353624303102265213302534044423103333152603600224623510240040601656613
04206105413464462236430540500050045444305643636443561541504561145340531306362032545534354
15342400655516126365552342516211250500044001614621462515504252552365156326521626146326622
mindist=66
weight enumerator=1 [0]  876 [66]  4536 [67]  6282 [68]  9960 [69]  17568 [70]  26838 [71
]  40374 [72]  52896 [73]  74472 [74]  87210 [75]  98988 [76]  99306 [77
]  97164 [78]  71610 [79]  55386 [80]  39432 [81]  20790 [82]  12138 [83
]  5814 [84]  1536 [85]  366 [86]

q=8

q=8 k=5 n=94 d=77
(extension of a code with  automorphisms)
( link )

generator matrix:
[[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[0,0,0]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[0,0,0]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:
[0,0,0]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]]
[[0,0,0]:[0,1,0]:[1,1,1]:[0,0,0]:[0,0,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:
[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,1]:[1,1,1]:[0,1,0]:[1,1,0]:[1,1,1]:
[1,0,1]:[1,1,0]:[1,1,1]:[0,0,1]:[1,0,0]:[1,1,1]:[0,0,1]:[1,1,0]:[1,1,1]:
[1,1,1]:[0,0,1]:[1,1,1]:[0,0,0]:[0,1,1]:[1,1,0]:[1,0,1]:[1,1,0]:[1,1,0]:
[1,1,1]:[0,0,1]:[1,1,0]:[0,0,1]:[1,0,0]:[1,1,0]:[0,1,1]:[1,0,0]:[1,1,0]:
[1,0,0]:[1,0,1]:[1,1,0]:[1,1,1]:[1,0,1]:[1,1,0]:[0,1,0]:[0,1,1]:[1,1,0]:
[1,1,1]:[0,0,1]:[1,0,1]:[1,1,1]:[1,0,1]:[1,0,1]:[0,0,0]:[1,0,0]:[1,0,1]:
[0,0,0]:[0,0,0]:[1,0,0]:[1,1,1]:[0,0,0]:[1,0,0]:[0,1,0]:[1,0,0]:[1,0,0]:
[0,0,1]:[0,1,0]:[1,0,0]:[1,1,1]:[0,1,0]:[0,1,1]:[1,1,1]:[0,0,1]:[0,1,1]:
[1,1,1]:[0,0,0]:[0,1,1]:[1,1,1]:[0,1,0]:[0,1,0]:[0,0,0]:[0,0,0]:[0,0,1]:
[0,0,0]:[0,0,1]:[0,0,1]:[1,1,1]]
[[1,1,1]:[0,0,0]:[1,1,1]:[1,0,1]:[0,1,0]:[1,1,1]:[1,1,0]:[0,1,1]:[1,1,1]:
[1,0,1]:[0,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,0]:[1,1,0]:[0,1,0]:[0,1,1]:
[1,0,1]:[0,0,1]:[0,1,1]:[0,1,0]:[0,1,1]:[0,1,1]:[1,0,0]:[1,0,0]:[0,0,0]:
[0,0,1]:[0,0,0]:[0,0,0]:[1,1,1]:[0,0,1]:[1,1,1]:[0,1,0]:[0,1,1]:[1,1,0]:
[1,0,0]:[1,0,0]:[1,1,0]:[1,1,0]:[1,0,0]:[1,0,1]:[0,1,0]:[0,0,0]:[1,0,1]:
[0,1,0]:[1,0,1]:[1,0,0]:[1,0,1]:[0,1,0]:[0,1,0]:[0,1,0]:[0,1,0]:[0,0,0]:
[0,1,0]:[0,1,0]:[1,0,1]:[0,1,1]:[0,1,0]:[1,0,0]:[1,0,1]:[1,1,1]:[0,0,1]:
[0,1,0]:[1,1,1]:[1,1,1]:[0,0,1]:[1,1,0]:[1,1,1]:[0,0,1]:[0,1,1]:[1,1,0]:
[0,1,0]:[0,1,1]:[0,1,0]:[1,1,1]:[1,0,0]:[1,0,1]:[0,1,1]:[1,0,0]:[0,0,1]:
[0,0,0]:[1,0,0]:[0,0,0]:[0,1,0]:[0,0,0]:[1,0,1]:[0,0,0]:[1,1,1]:[1,1,1]:
[0,0,0]:[0,1,0]:[1,1,1]:[0,1,0]]
[[1,0,0]:[0,0,0]:[1,0,1]:[0,0,1]:[0,1,0]:[0,1,1]:[1,1,0]:[1,0,0]:[0,1,1]:
[0,0,0]:[0,1,1]:[0,0,1]:[0,1,0]:[0,0,1]:[1,1,1]:[0,1,0]:[0,1,1]:[1,1,0]:
[1,1,1]:[1,1,0]:[1,0,0]:[1,1,1]:[0,0,1]:[1,0,0]:[1,0,1]:[1,1,1]:[1,0,0]:
[1,1,0]:[1,1,1]:[0,0,1]:[0,1,1]:[0,0,1]:[1,0,0]:[0,0,1]:[1,0,1]:[1,1,1]:
[0,1,0]:[0,1,0]:[1,0,1]:[0,1,0]:[0,0,0]:[1,1,1]:[0,0,0]:[1,0,1]:[0,1,0]:
[0,0,0]:[1,0,0]:[1,0,1]:[0,1,0]:[1,0,0]:[1,1,1]:[0,1,1]:[0,1,1]:[0,1,1]:
[1,1,0]:[0,0,0]:[1,0,0]:[0,0,0]:[0,0,1]:[0,0,1]:[1,1,0]:[1,0,0]:[0,0,1]:
[0,1,0]:[0,0,0]:[1,1,1]:[0,0,1]:[0,1,0]:[1,1,0]:[0,1,1]:[0,0,0]:[1,1,1]:
[0,0,1]:[1,0,0]:[0,0,0]:[0,1,0]:[1,1,0]:[1,1,1]:[1,0,1]:[0,1,0]:[0,0,0]:
[0,1,1]:[0,1,1]:[0,0,0]:[0,0,0]:[0,1,0]:[0,1,0]:[0,0,0]:[1,0,0]:[1,1,1]:
[1,1,0]:[0,1,0]:[1,0,0]:[0,1,0]]
[[1,1,1]:[1,1,1]:[1,0,1]:[0,1,0]:[1,1,1]:[1,0,1]:[0,0,0]:[1,0,0]:[1,0,0]:
[0,1,0]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,0]:[1,1,1]:[0,0,1]:[1,1,0]:[0,0,0]:
[0,1,0]:[0,0,0]:[1,1,1]:[1,0,1]:[1,0,1]:[1,0,1]:[0,1,1]:[1,0,0]:[0,0,1]:
[0,0,1]:[0,0,0]:[0,0,1]:[0,0,1]:[1,1,0]:[1,0,0]:[0,0,0]:[1,1,1]:[0,1,1]:
[0,0,0]:[0,1,0]:[0,1,0]:[1,1,1]:[1,1,0]:[1,0,0]:[0,1,0]:[0,0,1]:[0,1,1]:
[0,0,1]:[0,0,0]:[1,1,1]:[0,1,1]:[1,0,0]:[0,0,0]:[0,1,0]:[1,1,1]:[0,0,1]:
[1,0,1]:[1,1,1]:[1,0,0]:[0,1,0]:[1,1,0]:[0,0,1]:[0,0,0]:[0,0,1]:[0,1,0]:
[0,0,0]:[0,0,1]:[0,1,1]:[1,0,0]:[0,1,0]:[0,0,1]:[0,0,0]:[1,1,0]:[0,1,0]:
[0,1,1]:[1,0,1]:[1,0,0]:[0,0,1]:[0,0,1]:[1,1,1]:[0,0,1]:[1,0,1]:[0,0,0]:
[1,0,0]:[1,0,0]:[0,0,0]:[1,1,1]:[0,1,0]:[1,0,1]:[1,0,1]:[1,1,1]:[0,0,1]:
[0,1,1]:[1,0,0]:[1,1,1]:[1,1,1]]

mindist=77
weight enumerator=1 [0]  1470 [77]  2723 [78]  3290 [79]  5089 [80]  1764 [81]  2758 [82
]  2996 [83]  4928 [84]  1806 [85]  2842 [86]  994 [87]  1470 [88]  224
 [89]  406 [90]  7 [94]

new codes from 061008

binary q=2

ternary q=3

q=4

q=5

q=7

q=8

q=9