length n = 31
dimension k = 5
alphabet length q = 5

minimum distance d = 21

generator matrix:

0	0	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
0	0	0	1	1	1	0	0	0	1	1	1	1	2	2	2	2	2	2	3	3	3	3	3	3	4	4	4	4	4	4
0	1	1	0	0	1	0	0	1	0	1	2	4	1	2	2	3	3	4	2	2	4	4	4	4	1	2	3	3	3	3
1	0	1	0	1	0	0	1	0	0	1	3	3	4	3	4	1	4	4	3	4	2	2	2	2	2	3	1	2	3	4
1	1	0	1	0	0	1	0	0	0	1	4	2	3	4	3	4	3	3	4	1	1	2	3	4	3	4	2	2	2	2

projective group of automorphisms generated by:

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

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