length n = 6
dimension k = 5
alphabet length q = 2

minimum distance d = 2

generator matrix:
000011
000101
001001
010001
100001

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000