length n = 127
dimension k = 6
alphabet length q = 3

minimum distance d = 81

generator matrix:
0000000000111110000000000111110111110000011111111111111111111111110000000000111111111111111111111111111111111111111111111111111
0000001111000010000001111000021011111111100000111111111111222222221111111111000000000011111111111111112222222222222222222222221
0001110001000100001110002000201101111112211122000111111222001112221111222222111122222200001112222222220000001111111112222222221
0110010010001000110020020002001110111121211212112001122011120110221222111222122211122212220220001122221112220001122220001111221
1010100100010001020200200020001111011211212112121120201101121012022122122112212212211221222021220200121221121220200121120012011
1101001000100002202002000200001111102111221112211212010110121102202212212121221221212122122202122012002121212122012001211200101

projective group of automorphisms generated by:
001000
100000
010000
000100
000010
000001

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000