length n = 246
dimension k = 6
alphabet length q = 3

minimum distance d = 162

generator matrix:
000001000001000000000011111111110000000000000000000000000000001111111111111111111111111111110000000000000000000011111111111111111111111111111111111111110111110111110000000000111111111111111111111111111111111111111111111111111111111111111111111111
000010000010000011111100000011110000000000001111111111111111110000000000000000001111222222220000111111111111111100000000000000001111111111112222222222221011111011111111111111000000000011111111111111112222222222222222222222221111221111221111222222
000100000100011100011100011100010001111111110000000001112222220000000001112222220002000000121111000011111122222200001111112222220000001112220000001112221101111101111111222222111122222200001112222222220000001111111112222222221112121112121222111222
001000001000101101100101100100101110001122220001122220020000120001122220020000120020000012001122112200112200112211220011220011220011220020010011220010021110111110111222111222122211122212220220001122221112220001122220001111221121121121122122122112
010000010000110110101010101001001221220200121220200120200012001220200120200012000200001200001212121212020112010212121202011201021202010200101201020100201111011111012122122112212212211221222021220200121221121220200121120012011211121211122212212121
100000100000111011010011010010002122122012002122012002001200002122012002001200002000120000002112211221201012102021122120101210202120102001001210201002001111101111102212212121221221212122122202122012002121212122012001211200102111122111122221221211

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