length n = 43
dimension k = 5
alphabet length q = 5

minimum distance d = 30

generator matrix:
0000000011111111111111111111111111111111111
0011111100000022334411111112222223333334444
1100234400233404000211123341223441123341223
2334020324304000023011132432131242321413243
3423402042020330400011122333312422414133421

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

00001
00010
00100
01000
10000