length n = 226
dimension k = 9
alphabet length q = 3

minimum distance d = 132

generator matrix:
0000000000000000000000000000111111110000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111110111111110111111110000111111111111111111111111111111110001111111111111111111111111
0000000000000000000001111111000000020000000000000000001111111111111111111111111111110000000000000000000000000000001111111111112222222222222222221011111111011111111111000011111111111111112222222222221110001111111112222222222221
0000000000000001111110000002000000200000001111111111110000000000001111111122222222220000000000001111111122222222220000000022220000000000111122221101111111101111111122112200111111111222220011111222221221220111222220011111222221
0000000000111110000020000020000002001111110000002222220000002222221111112200000011221111122222220000022200000001110000022200020000000111000212221110111111110111111212112211001112222111122211112001222121221022112222211222001111
0000001111000020000200000200000020001122220022220000221122221112220000220200001100010022200002221111211200001120020022200000200000222000112100011111011111111011111122121211120220112111121101120122221222121202221121102022121121
0001110002000200002000002000000200000202221212220011002211220000110022000011122202101111200120010022202000220201210202200200000222000112000010101111101111111101111212211212112021111011221210212110222122212122021211220112110221
0110020020002000020000020000002000001120012100111100120211010022120202020211210020100202011011222200020212112010002200000022001122011022000000001111110111111110112112211221121112110102121212012122012212212221122102112210122011
1020200200020000200000200000020000002011101211002212001102101211002020202002021202012200012211100202000011120212202020022000001101212000022000001111111011111111012112121212211111021211021221102122102212122212212011221201212101
2202002000200002000002000000200000002211222122121222112020222200002200002020200020002020222200002020200022002000001111212112112010100200200001001111111101111111101111111121212201201120101211112122221111112220200222122121211211

projective group of automorphisms generated by:
000000001
000000010
000000100
100000000
001000000
010000000
000010000
000001000
000100000

100000000
000010000
000000010
010000000
000000100
000000001
000001000
000100000
001000000