length n = 177
dimension k = 6
alphabet length q = 3

minimum distance d = 114

generator matrix:
000001000000000011111000001111100000000000000011111111111111100000111111111100000000001111111111111111111100000111111111111111111111111100000111111111111111111111111111111111111
000010000000111100001001110001100000011111111100000000011222201111000011111100111111110000000011111122222211111000001111111122222222222211111000001111111122222222222211111222222
000100000111000100010010110110011111100000012200000012202001210111011100011111001111220011112200002200112212222122220111222200001111222211122111220002222200111112222211222111222
001000011001001000100111000010100012200012221211222200000000011011101101100112120022122201120201120102010011122211122022002211120022112222212122221220112222011220001112122122112
010000101010010001000110011001012200012221200002001221200000011101110110101012221201021220201210211010000221211112212202220012221212010112222222122121021211202001120212212212121
100000110100100010000101101100021221221200000020120000020120011110111011010022122110101212011022000012102022212221221220121221212200101021211212112222200012120121212012221221211

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

001000
000100
000001
100000
000010
010000