length n = 27
dimension k = 5
alphabet length q = 7

minimum distance d = 19

generator matrix:

0	0	1	1	1	1	1	1	1	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	2	2	3	3	3	3	4	4	4	5	6	6	6	6	6	5	5
0	5	0	0	5	6	2	4	4	5	0	1	4	5	5	6	3	5	5	2	1	1	2	4	4	1	1
0	2	6	6	4	4	3	5	6	2	2	4	3	4	6	0	4	2	3	2	2	5	4	2	5	6	6
1	4	3	6	1	5	6	2	4	5	0	3	3	5	4	5	4	3	2	0	0	4	4	1	1	4	4

projective group of automorphisms generated by:

2	0	3	5	2
5	3	4	1	6
2	5	2	5	3
1	6	1	0	4
0	1	3	2	3