length n = 24
dimension k = 6
alphabet length q = 5

minimum distance d = 14

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

projective group of automorphisms generated by:

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

1	0	0	0	0	0
0	4	0	0	0	0
0	0	1	0	0	0
0	0	0	4	0	0
0	0	0	0	4	0
0	0	0	0	0	4