length n = 50
dimension k = 4
alphabet length q = 7

minimum distance d = 42

generator matrix:
00111111001111110011111100111111111111111111111111
01123456011234561100336611334455001122450011224566
12554100125541000503561433003366463413614634136155
16414515251213236334422334253425165431453415235102

projective group of automorphisms generated by:
1320
6260
4410
0001