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

minimum distance d = 2

generator matrix:
00000011
00000101
00001001
00010001
00100001
01000001
10000001

projective group of automorphisms generated by:
0000001
1000000
0100000
0010000
0001000
0000100
0000010

0100000
1000000
0010000
0001000
0000100
0000010
0000001