length n = 30
dimension k = 5
alphabet length q = 7

minimum distance d = 21

generator matrix:

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