length n = 25
dimension k = 5
alphabet length q = 3

minimum distance d = 15

generator matrix:
0001100011001110011111111
0010100102010221100111122
1100011000111000101122212
0101002020202021110012211
1010020200220101011021222

projective group of automorphisms generated by:
00100
00001
10000
00010
01000

01000
10000
00100
00001
00010