length n = 42
dimension k = 5
alphabet length q = 7

minimum distance d = 30

generator matrix:

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

projective group of automorphisms generated by:

0	0	0	0	1
1	0	0	0	6
0	1	0	0	4
0	0	1	0	4
0	0	0	1	0