length n = 223
dimension k = 6
alphabet length q = 3

minimum distance d = 145

generator matrix:
0000000000111110000000000000000000000000000001111111111111111111111111111110000000000000000000011111111111111111111111111111111111111110000000000111111111111111111111111111111111111111111111111111111111111111111111111111111
0000001111000010000000000001111111111111111110000000000000000001111222222220000111111111111111100000000000000001111111111112222222222221111111111000000000011111111111111112222222222222222222222221111122111122111111122222222
0001110001000100001111111110000000001112222220000000001112222220002000000121111000011111122222200001111112222220000001112220000001112221111222222111122222200001112222222220000001111111112222222221111212111212111222211112222
0110010010001001110001122220001122220020000120001122220020000120020000012001122112200112200112211220011220011220011220020010011220010021222111222122211122212220220001122221112220001122220001111221112112112112122112211221122
1010100100010001221220200121220200120200012001220200120200012000200001200001212121212020112010212121202011201021202010200101201020100202122122112212212211221222021220200121221121220200121120012011121112121112212121212121212
1101001000100002122122012002122012002001200002122012002001200002000120000002112211221201012102021122120101210202120102001001210201002002212212121221221212122122202122012002121212122012001211200101211112211112221211221121221

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