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

minimum distance d = 2

generator matrix:

0	0	0	0	1	1	1	1
0	0	0	1	0	1	1	1
0	0	1	0	0	1	1	1
0	1	0	0	0	1	1	1
1	0	0	0	0	1	1	1

projective group of automorphisms generated by:

0	0	0	1	0
0	0	0	0	1
0	0	1	0	0
0	1	0	0	0
1	0	0	0	0

1	0	0	0	0
0	0	0	0	1
0	0	1	0	0
0	1	0	0	0
0	0	0	1	0

1	0	0	0	0
0	1	0	0	0
0	0	0	1	0
0	0	1	0	0
0	0	0	0	1

1	0	0	0	0
0	0	1	0	0
0	0	0	1	0
0	1	0	0	0
0	0	0	0	1