new linear codes from 041208

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

binary q=2

q=2 k=10 n=152 d=72 optimal
(extension   of a  code using automorphisms)
( link )


generator matrix:
00000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111
00000000000000000000000000000000000011111111111111111111111111111111111100000000000000000000000000000000000011111111111111111111111111111111111111111111
00000000000011111100011111100011111100000000000011111100011111100011111100000000000011111100011111100011111100000000000000000001111110001111110001111110
00000000011100011111100011111100011100000000011100011111100011111100011100000000011100011111100011111100011100000000000000001110001111110001111110001110
00011111101101101101101101101101101100011111101101101101101101101101101100011111101101101101101101101101101100000000001111110110110110110110110110110110
11100011110110110110110110110110110111100011110110110110110110110110110111100011110110110110110110110110110100000001110001111011011011011011011011011010
01101101110101111010101111001111010101101101110101111001111010111010101100000000000000000010101111011010101100000110110110110000000001101010111101010110
10110110111010101111010101110101111010110110111010101110101111001111010100000000000000000011010101101111010100001011011011010000000000111101010111101010
11010101101110111011001110101110111000000000000000000011001110101110111001101101101110111010111001110111001100110001010111101011100110000000001011100110
10101111010111001101110111010111001100000000000000000001110111010111001110110110110111001111001110111001110101010000111101011100111010000000001100111010
mindist=72
weight enumerator=1 [0]  619 [72]  305 [80]  81 [88]  18 [96]  
This is a self-orthogonal code

q=2 k=14 n=256 d=116 
(using automorphisms)
( link )

code with group 126272 

generator matrix:
0000000000000000001111111111000000000011111111111111111100000000000000111111111111110000000000000011111111111111000000000000001111111111111100000000000000111111111111110000000000000011111111111111000000000000001111111111111100000000000000000011111111111100
0000000000000111110000111111000001111100000111111111111100000001111111000000001111110000000111111100000001111111000000011111110000000111111100000000111111000000011111110000001111111100000001111111000000001111110000000111111100000000000011111100000111111001
0000000011111000110111001111011110111100111000000111111100001110000011000001110000110011111000011100011110111111000011100001110001111000111100000011000111000011100000110000000111111100001110001111000000110111110011111000001100000111111111111100011001111100
0000011100011111110000010111100011000101011000001011111100010110000100000110110001011101111011100101100011001111001100100110010110011011001100111111001111000101100111110011110000111100000011110011111111110000001100001001110001111000111100001101101010000011
0001100101101011001011111001101110001000101000110100111111110000011000011010000111010110011001100110101100010011010001101010110000001101111101011101000011111110000001111100111111011100110110111111011111010000010111111010000110011001001100110100110100010110
0011100000111001011000011001010111010111001011001001011100101000111111101001001110111000101000101100010110010101100001011011000011101001010000001101011100011100001110000100111111000111011101110000000011000001100000110000110000001010010101010011011010101111
0000101111000100001101101001111010111100101101010111111100010111101101011011010011011100101010101100011000011000100110001001101100100111111111100100010001100111110011110101010001101001100110010100100101100000111001010010010110001000111001010110111111011111
0111011111101000101010001000011111010001010001111110001101000011000000010110011001100101101101000000011001010101110110011101001011010101010110000101101110100110110101001001000010000010010011110100100000100000011000000010000100011011110101111011011011101111
0111111111001001010111011010000111000110110010100100000010011001011000110001010101111101010110101001100101101000101001001110000100111011110001010011010111001011000001111101100101011001011001000101101010011011010101010010011000100000010110001100101010010011
0111100000101001000010000001010011100110100100101110010100010011100010000110101010100001111100001110101100001110001101101000000010111010111101001000001001000000110000011001100001110010101101111111010011011101101000110010110111010010010111010101011000001001
0010111010010011010110101010100010110001100111010100010000011011000111101100110100011000001110100101000101001011011111000101011011101110000101000101101110001001100011110000100000000000101101111101010110011101000101101100101000101000000101100001101011000000
0100100011111100001010001010000000011010010101111111111110101101001011101011101101001100001101101100110100110111101110100110011010111010110001101101010110011110101100010011111011000100101111011100111010110011000010100111101110110001001111100101001111101111
0110100101110110011010011110001110100000010100010110111001010011010100011011001100000001110001001101001010000111110000101111100101010101101111000111100110011011011000111111001011000111001110101010010110010001011001100100101001000001011001101101000001110000
1001010101111110000100101110111001010010100110110010101000001010010111000111110001011011001000111011100110000101000101101011011110010111000011110001100100100110100010010000000000111000000011010100101001100010111001100010100111000011100001001000101011001010
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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0]
mindist=116
weight enumerator=1 [0]  2362 [116]  1134 [120]  4326 [124]  1123 [128]  4116 [132]  1127
 [136]  1729 [140]  196 [144]  266 [148]  3 [168]  1 [172]  

ternary q=3

q=3 k=9 n=130 d=78 
(extension   of a  code using automorphisms)
( link )

generator matrix:
0000001111111111111000011111111111111110011100000111111111111111000000011111111111110011100000111111111111111000001111111111111110
0111110001111122222011100000111222222220112201111000001111222222000111100001111222221111200011000000011222222001110000000001112220
1000110120111100001001200012012000111120100210012111220112011122111011200020022001120212100122011222212000111010220011112220221110
1122120122012201221110100221200022012220202220101002221120000112001102222201112122222200211202022000212002011100220111220011020010
2112222211022211011100201102002201200101120210022112112222001101121012202201222000000100202020101001011020222100112200000011110100
1001111101100201101020010221220102221022000120212121021002202211010122100220012010201022122002112111102201111100221012020010002120
1101221011100202222211022001210222202212221221212110002112011011022121222021100110000211211102022110211221202222120112001210022200
2002001022010011112221122202000012202010121221120200222011022221111000002111002220122010010221222010021010111200210202110122020110
1011000221211021100101021201122011002100011111211221200002122202002011022111022220010011102122220220221220220220221122012210011011
mindist=78
weight enumerator=1 [0]  1680 [78]  3540 [81]  3880 [84]  2680 [87]  3620 [90]  2760 [93
]  1400 [96]  120 [99]  2 [120]  
This is a self-orthogonal code

q=3 k=9 n=135 d=81
(extension   of a  code using automorphisms)
( link )

generator matrix:
000000000000011111111111110000000111111111111111111100000001111111111111111111100000000011111111111111111000000000111111111111111111111
000001111111100000112222220011111000001111122222222200001110000000001111112222200000011100000011111122222001111111000000011112222222222
000110011112200122220012220111112001220111200111112200111120011122220122220122200111111200011200012200012110001112001112200120111110022
011010101121211202020122221100121012220112112000112211011220211101112100221012201001222102201201121111221020000122020020211120012221001
001021122201112220022021222222210221011110101002120200200111211201220012112212110000112000112020010101112101221002020121001010010012211
020012020122100201012210121122110210021121010022222222200002202011012201011021111221022012022201221122202012020020222011211021210020102
020100121000022102111200000000211222110111021122102212112220022000021211101221100120211111222211210220012212100120121222221002101212211
012202002012101001220001101102022020220020122221221112122122000211202012021210121200212012201102102221122022210222010212222002102002120
110210012010100202001010020102120001212100011111100101200211121001010101110021212012111100220110222112021210012121111001110112212012222
mindist=81
weight enumerator=1 [0]  1860 [81]  2912 [84]  2964 [87]  4082 [90]  3588 [93]  2578 [96
]  1170 [99]  520 [102]  6 [108]  2 [132]  
This is a self-orthogonal code

q=3 k=9 n=191 d=117
(extension   of a  code using automorphisms)
( link )

generator matrix:
00000001111111111111000000011111111111110000000111111111111111111000000111111111111110000011111111111111100000111111111111111000000111111111111110000000011111111111100000000111111111111000111
00111110001111122222000111101111222222220011111000111112222200222011111000111112222220011100001112222222201111000011112222222011111000000011111220000111100000111122200011111000011111222011112
01000110120111100001000022220222111112220000112012011110111200012101112112001120112220112200120120001112200112012201220112222101222000112201122020011111100002001200101100112111201222001112020
01122120122012201221001101200022000220121122012220000010000211222111120022221120020010020102201200221220110010021111120110001122012112011221112200112011201122012012210102122001221002020022002
02112222211022211011002000010002001020022222022112002200001101100011120202112221210110000221011010020221102001120011212220220011201012200200202121111000211212200200002011211010101121120100122
01001111101100201101110200221211120002220001210221010211120210200220201001220201100221202012020011221010101012220010110220010010101002012120112211021101121102021120221222101101110201000211101
01101221011100202222010112220022012120101212110102020221220110011200200221021221202022101021201112111000021111121200200012201211100012001020221000221212200210200002210202000212210222011200020
02002001022010011112211001201100220200122020001111021122200200102102121111111112022002112000000200121102120012102021012021021122212102222112020002021201221022222012002211112011200012022210202
11011000221211021100112100011022101001220202201011200101001011111011121220010202002001202110010100121001121110222202002212022000120020112220010210112000100212010112212002201121002101010000111
mindist=117
weight enumerator=1 [0]  1730 [117]  2700 [120]  2780 [123]  2620 [126]  3400 [129]  3210
 [132]  1510 [135]  1010 [138]  562 [141]  160 [144]  
This is a self-orthogonal code

q=3 k=9 n=196 d=120
(extension   of a  code using automorphisms)
( link )

generator matrix:
0000000001111111111111110001111111111111111111110000000001111111111111110000001111111111111111110000001111111111111111110000001111111111111111110000001111111111111111110000000001111111111111111101
0111111110011111222222220000001111111112222222220001111110001111112222220111110000000011222222220111110000011111222222220000110000011111111222220011110000111111111122220011111110000000111122220211
1001111121201222000112220011220001111220000112220110011220120000120122221001220011112222001112221112220012200112001112220011220001200111112001220100000222000011122200121111122220011122022211122110
1120011221200012000110221122011220022120002000220121202120020122110000121120010200010102110121122010120010102112010120120102220121011002220220021201122122000100200200000101122221201200100012200211
0111202001121222001121110110211121100120120122220222212120211001021201220121002211202011120221220221122201122022010011221110222000101021120120202120210122022211222222110200200110021200001210212021
2101202001202100122210012100200021222022122200020221212202202220000201022102012101211021111120010012120201220201012122000200001100110000002022021100221002122002212111211002201222101002000020011012
0001211022100211210012200202001101212121000221021212011201201001011212122212120200101101020010122110000010220120021211212100010012222000200101021011221101022112220011012110011110020122211221202202
0002210021020000202201111112211101002000100111101212121222211000200122021001010120210112202121001002222211110021100222211100210100120210102021110021112020000110221212020122122010012010212001201101
0000021001101112000101120222212100222022122102010022222121011102121200211022212001212220210221010110011212111200211112200122022012122010222021222210002201201001100101002022011000112000100020110000
mindist=120
weight enumerator=1 [0]  1872 [120]  2128 [123]  2472 [126]  2928 [129]  3864 [132]  2640
 [135]  1976 [138]  1072 [141]  512 [144]  152 [147]  64 [150]  2 [192
]  
This is a self-orthogonal code

q=3 k=10 n=104 d=59
(using a program of Johannes Zwanzger  )
( link )

generator matrix:
00000001111111111111111100000001111111111111111100000000111111111111111100000000111111111111111111100000
00111110000111112222222200111110000000112222222201111111000001111222222200011111000000000111112222200101
11000121112001220011112211112220012222110011222200000122012220111012222201100122001111112111221221010202
01122000122002111111120202021121100222021201011210012111000110122020112210200212120012222002120111101001
01001202221021020100200212120001211022220212222200121201000011102212010212012001021120002002000001220000
20202212202022000122211202011120112111212121102201120202211010010020202001100222220100120121101100001110
21012001201211102011022022110201110111110122201100110021100122120222222100220121221110000020012101220022
01001222001222120200211210211222212000100001002022111211010021100102201222102202202210002112222020120120
20212201002211111200022002122200210012002111122001211022002202102120121111021022002101120012212212022201
21002011021011000012101022100200200121221010002012121202021101000002210002212102222020202021112012022122
mindist=59
weight enumerator=1 [0]  1328 [59]  1360 [60]  716 [61]  2844 [62]  2200 [63]  1368 [64]  
4134 [65]  2880 [66]  1938 [67]  5960 [68]  4732 [69]  3116 [70]  5988
 [71]  4654 [72]  3108 [73]  4488 [74]  2772 [75]  2094 [76]  1334 [77
]  964 [78]  686 [79]  168 [80]  120 [81]  96 [82]  

q=4

q=5

q=7

q=8

q=8 k=6 n=90 d=71
(using automorphisms)
( link )

code with group 127449 

generator matrix:
[[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[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]:
[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]:[1,1,1]:[1,1,1]:[1,1,1]:
[0,0,0]:[0,0,0]:[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]:[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]:[1,1,1]:[1,1,1]:[1,1,1]:
[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[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]
]
[[0,0,0]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[0,0,1]:[0,1,0]:
[0,1,0]:[0,1,1]:[1,0,0]:[1,0,0]:[1,0,1]:[1,0,1]:[1,1,0]:[1,1,1]:[1,1,1]:
[0,0,0]:[0,0,0]:[0,0,1]:[0,0,1]:[0,1,0]:[0,1,1]:[0,1,1]:[1,0,0]:[1,0,0]:
[1,0,1]:[1,0,1]:[1,0,1]:[1,0,1]:[1,1,0]:[1,1,0]:[1,1,0]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,1]:[0,0,1]:[0,1,0]:[0,1,0]:[0,1,1]:
[0,1,1]:[1,0,0]:[1,0,1]:[1,0,1]:[1,1,0]:[1,1,0]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[0,0,0]:[0,0,0]:[0,0,1]:[0,0,1]:[0,1,0]:[0,1,0]:[0,1,0]:[1,0,0]:
[1,0,0]:[1,0,1]:[1,0,1]:[1,1,0]:[1,1,0]:[1,1,0]:[1,1,0]:[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]:[0,0,1]:[0,0,1]:
[0,1,0]:[0,1,1]:[0,1,1]:[1,1,0]:[1,1,0]:[1,1,0]:[1,1,1]:[1,1,1]:[1,1,1]
]
[[0,0,0]:[1,1,1]:[0,0,1]:[0,1,1]:[1,1,0]:[1,1,1]:[1,1,1]:[1,1,0]:[0,0,1]:
[0,1,0]:[0,1,1]:[0,0,1]:[1,1,0]:[1,0,0]:[1,1,0]:[1,1,1]:[1,0,1]:[1,1,0]:
[1,1,1]:[0,1,0]:[0,1,0]:[1,1,0]:[1,1,0]:[0,0,0]:[1,1,0]:[0,0,1]:[1,0,0]:
[0,0,0]:[0,1,1]:[1,0,1]:[1,1,1]:[0,0,0]:[0,1,0]:[1,0,0]:[0,1,0]:[1,1,1]:
[0,0,1]:[0,1,0]:[1,1,0]:[0,1,1]:[1,0,0]:[1,1,0]:[1,1,0]:[1,1,1]:[0,0,0]:
[1,0,1]:[0,1,1]:[0,0,0]:[0,1,0]:[0,0,1]:[0,1,1]:[0,0,1]:[1,1,0]:[1,1,1]:
[0,1,1]:[0,0,1]:[1,1,1]:[0,1,0]:[1,1,1]:[0,1,0]:[0,1,1]:[1,1,0]:[0,0,0]:
[1,1,0]:[1,1,0]:[1,1,1]:[0,0,0]:[0,1,0]:[1,0,0]:[1,0,0]:[0,0,0]:[1,1,0]:
[0,1,1]:[0,1,1]:[1,0,0]:[1,0,1]:[1,0,1]:[1,1,1]:[1,1,0]:[0,1,0]:[1,0,1]:
[1,1,1]:[1,1,0]:[1,1,0]:[0,0,0]:[0,1,0]:[0,1,1]:[0,1,0]:[0,1,1]:[1,0,0]
]
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mindist=71
weight enumerator=1 [0]  2772 [71]  5628 [72]  6048 [73]  12852 [74]  14742 [75]  19908 [76
]  25074 [77]  30387 [78]  31626 [79]  36162 [80]  24822 [81]  22239 [82
]  15120 [83]  8190 [84]  4536 [85]  1701 [86]  252 [87]  63 [88]  21 [90
]  

q=8 k=6 n=96 d=76 
(using automorphisms)
( link )

code with group 126931 

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

corresponding to the solution:
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mindist=76
weight enumerator=1 [0]  2499 [76]  4704 [77]  7343 [78]  11123 [79]  14567 [80]  19222 [81
]  22393 [82]  27979 [83]  30926 [84]  32046 [85]  26999 [86]  27013 [87
]  16632 [88]  9702 [89]  5439 [90]  2317 [91]  847 [92]  294 [93]  98
 [94]

q=8 k=6 n=130 d=105 
(using automorphisms)
( link )

code with group 127472 

generator matrix:
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corresponding to the solution:
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mindist=105
weight enumerator=1 [0]  3696 [105]  4851 [106]  7791 [107]  8400 [108]  11515 [109]  14553
 [110]  21462 [111]  22806 [112]  27783 [113]  24717 [114]  26901 [115
]  23814 [116]  20874 [117]  15288 [118]  12369 [119]  8085 [120]  3969
 [121]  1344 [122]  1470 [123]  294 [124]  147 [125]  7 [126]  7 [127]  

q=9