length n = 50
dimension k = 5
alphabet length q = 4

minimum distance d = 35

generator matrix:
00111000011111101111001111111100111111111111111111
01023111100002310111110011223311002223331112312233
11100002300233211011131311020123230120132231321323
23001230023320011101311103201132113302201232332312
20320323232000011110113130221011323032022131133221

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

00100
00010
10000
01000
00001