length n = 30
dimension k = 6
alphabet length q = 7

minimum distance d = 14

generator matrix:

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	1	1
1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	4	4	4	4	1	1	1	1	6	6	6	6	6	6
1	1	1	1	1	1	1	1	2	4	4	4	1	2	2	2	1	1	1	4	1	6	6	6	1	1	1	6	6	6
1	1	1	1	1	1	4	4	2	1	1	4	2	1	2	2	1	1	4	1	6	1	6	6	1	6	6	1	1	6
1	1	1	1	1	4	1	4	2	1	4	1	2	2	1	2	1	4	1	1	6	6	1	6	6	1	6	1	6	1
1	1	1	1	1	4	4	1	2	4	1	1	2	2	2	1	4	1	1	1	6	6	6	1	6	6	1	6	1	1

projective group of automorphisms generated by:

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

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