length n = 31
dimension k = 5
alphabet length q = 4

minimum distance d = 20

generator matrix:

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

projective group of automorphisms generated by:

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