length n = 42
dimension k = 5
alphabet length q = 5

minimum distance d = 29

generator matrix:
011110011111111111111111111111111111111111
101111100114444111112311222222333333444444
110114414040144111132123133344122244223344
111011444401401111312132424433434422121323
111104141444010113112144343412242413332232

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

00001
00010
00100
01000
10000