length n = 28
dimension k = 6
alphabet length q = 4

minimum distance d = 16

generator matrix:

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

projective group of automorphisms generated by:

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

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