length n = 28
dimension k = 6
alphabet length q = 5

minimum distance d = 18

generator matrix:

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

projective group of automorphisms generated by:

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

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