length n = 28
dimension k = 7
alphabet length q = 7

minimum distance d = 12

generator matrix:

0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
0	0	0	0	0	1	0	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	4	4	4	4	4
0	0	0	0	1	0	0	1	1	1	1	1	1	2	2	2	2	4	1	1	1	1	2	1	4	4	4	4
0	0	0	1	0	0	0	1	1	1	2	2	2	1	1	1	2	4	1	1	1	2	1	4	1	4	4	4
0	0	1	0	0	0	0	1	2	2	1	1	2	1	1	2	1	4	1	1	2	1	1	4	4	1	4	4
0	1	0	0	0	0	0	2	1	2	1	2	1	1	2	1	1	4	1	2	1	1	1	4	4	4	1	4
1	0	0	0	0	0	0	2	2	1	2	1	1	2	1	1	1	4	2	1	1	1	1	4	4	4	4	1

projective group of automorphisms generated by:

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

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