length n = 8
dimension k = 5
alphabet length q = 2

minimum distance d = 2

generator matrix:
00001111
00010111
00100111
01000111
10000111

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000