length n = 31
dimension k = 8
alphabet length q = 3

minimum distance d = 15

generator matrix:
0111111111111111111111111111111
0000000000000111111111111222222
0000000111111000011112222001122
0000022001122002211221122220000
0000012000012001212121212001212
0000012120000121221002112122100
0000021121200210012120012002121
1001212212121212112212121121221

projective group of automorphisms generated by:
20000000
01200000
00110000
01110000
00000220
00001010
00002220
00000001