length n = 28
dimension k = 5
alphabet length q = 7

minimum distance d = 20

generator matrix:

0	0	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
1	1	0	0	1	1	2	2	3	3	4	4	5	5	6	6	1	1	2	2	3	3	4	4	5	5	6	6
3	4	0	0	1	6	2	5	3	4	3	4	2	5	1	6	2	5	3	4	1	6	1	6	3	4	2	5
0	0	2	5	1	1	1	1	6	6	1	1	6	6	6	6	4	4	4	4	3	3	4	4	3	3	3	3
0	0	0	0	2	5	1	6	4	3	3	4	6	1	5	2	6	1	4	3	2	5	5	2	3	4	1	6

projective group of automorphisms generated by:

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

1	0	0	0	0
0	3	0	0	0
0	0	3	0	0
0	0	0	6	0
0	0	0	0	2