length n = 8
dimension k = 5
alphabet length q = 7

minimum distance d = 2

generator matrix:
00001111
00010111
00100111
01000111
10000111

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

10000
00001
00100
01000
00010

10000
01000
00010
00100
00001

10000
00100
00010
01000
00001