length n = 231
dimension k = 6
alphabet length q = 3

minimum distance d = 150

generator matrix:
000000000011111000000000011111111110000011111111110000000000000000000011111111111111111111111111111111111111110000011111111111111111111111110000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000111100001000011111100000011110111100001111110000111111111111111100000000000000001111111111112222222222221111100000111111111111222222221111111111000000000011111111111111112222222222222222222222221111221111111222222221111222222
000111000100010011100011100011100011011101110001111111000011111122222200001111112222220000001112220000001112221112211122000111111222001112221111222222111122222200001112222222220000001111111112222222221112121112222111122221222111222
011001001000100101101100101100100101101110110110011122112200112200112211220011220011220011220020010011220010021121211212112001122011120110221222111222122211122212220220001122221112220001122220001111221121121221122112211222122122112
101010010001000110110101010101001001110111011010101212121212020112010212121202011201021202010200101201020100201211212112121120201101121012022122122112212212211221222021220200121221121220200121120012011211122121212121212122212212121
110100100010000111011010011010010001111011101101002112211221201012102021122120101210202120102001001210201002002111221112211212010110121102202212212121221221212122122202122012002121212122012001211200102111122212112211212212221221211

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