length n = 247
dimension k = 6
alphabet length q = 3

minimum distance d = 162

generator matrix:
0000010000010000000000111111111100000000000000000000000000000011111111111111111111111111111100000000000000000000111111111111111111111111111111111111111101111101111100000000001111111111111111111111111111111111111111111111111111111111111111111111111
0000100000100000111111000000111100000000000011111111111111111100000000000000000011112222222200001111111111111111000000000000000011111111111122222222222210111110111111111111110000000000111111111111111122222222222222222222222211111221111221111222222
0001000001000111000111000111000100011111111100000000011122222200000000011122222200020000001211110000111111222222000011111122222200000011122200000011122211011111011111112222221111222222000011122222222200000011111111122222222211112121112121222111222
0010000010001011011001011001001011100011222200011222200200001200011222200200001200200000120011221122001122001122112200112200112200112200200100112200100211101111101112221112221222111222122202200011222211122200011222200011112211121121121122122122112
0100000100001101101010101010010012212202001212202001202000120012202001202000120002000012000012121212120201120102121212020112010212020102001012010201002011110111110121221221122122122112212220212202001212211212202001211200120111211121211122212212121
1000001000001110110100110100100021221220120021220120020012000021220120020012000020001200000021122112212010121020211221201012102021201020010012102010020011111011111022122121212212212121221222021220120021212121220120012112001012111122111122221221211

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