length n = 111
dimension k = 6
alphabet length q = 3

minimum distance d = 71

generator matrix:
000000000011111000000000011111111110111110000000000111111111111111111111111111111111111111111111111111111111111
000000111100001000011111100000011111011111111111111000000000011111111111111112222222222222222222222221111222222
000111000100010011100011100011100011101111111222222111122222200001112222222220000001111111112222222221222111222
011001001000100101101100101100100101110111222111222122211122212220220001122221112220001122220001111222122122112
101010010001000110110101010101001001111012122122112212212211221222021220200121221121220200121120012012212212121
110100100010000111011010011010010001111102212212121221221212122122202122012002121212122012001211200102221221211

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