length n = 24
dimension k = 5
alphabet length q = 5

minimum distance d = 16

generator matrix:
011111111111011111111111
101111112334101222223344
200023330001344011142334
010000332012311102332313
211221140113323331234034

projective group of automorphisms generated by:
00001
10000
01002
00100
00011