length n = 24
dimension k = 4
alphabet length q = 5

minimum distance d = 18

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

projective group of automorphisms generated by:

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

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