length n = 50
dimension k = 3
alphabet length q = 5

minimum distance d = 40

generator matrix:
00000000001111111111111111111111111111111111111111
01011111110010102020303041121213141423232424334344
10101232340101020203030401212131414132324242343434

projective group of automorphisms generated by:
100
001
010

100
001
010