length n = 38
dimension k = 5
alphabet length q = 7

minimum distance d = 27

generator matrix:

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

projective group of automorphisms generated by:

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

1	0	0	0	0
0	3	0	0	0
0	0	5	0	0
0	0	0	4	0
0	0	0	0	4