length n = 56
dimension k = 5
alphabet length q = 5

minimum distance d = 41

generator matrix:
00001000000001111111111110111101111111111111111111111111
00010001111110000002233441014410234111112222223333334444
00100110023440023340400021440143402123341223441123341223
01000342340022400233004004401422340122333132242411433241
10000233402304234000020304144034023132432311422324113423

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

10000
00100
01000
00001
00010