length n = 227
dimension k = 6
alphabet length q = 3

minimum distance d = 148

generator matrix:
00000100000000001111100000000000000011111111111111100000111110000011111111110000000000111111111111111111110000000000111111111111111111110000011111111111111111111111110000011111111111111111111111111111111111111111111111111111111
00001000000011110000100000011111111100000000011222200111000110111100001111110011111111000000001111112222220011111111000000001111112222221111100000111111112222222222221111100000111111112222222222221111221111111222222221111222222
00010000011100010001000011100011222200011222200000011001001011011101110001111100111122001111220000220011221100112222001122220011120000121222212222011122220000111122221112211122000222220011111222221112121112222111122221222111222
00100001100100100010011112212200000000002001202001201011110001101110110110011212002212220112020112010201001212110012110201120200200112021112221112202200221112002211222221212222122011222201122000111121121221122112211222122122112
01000010101001000100012221200002001212200000020120010110011001110111011010101222120102122020121021101000022111021210121120102002002012102121111221220222001222121201011222222212212102121120200112021211122121212121212122212212121
10000011010010001000021200021220120021220120000000011100100101111011101101002212211010121201102200001210201121201202212021021120012100002221222122122012122121220010102121121211222220001212012121202111122212112211212212221221211

projective group of automorphisms generated by:
100000
001000
000010
000001
000100
010000

001000
000100
000001
100000
000010
010000