length n = 27
dimension k = 7
alphabet length q = 3

minimum distance d = 15

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	1	1	1
0	0	0	1	1	1	0	0	0	0	0	0	1	1	1	1	1	1	2	2	2	2	2	2	2	2	2
1	1	1	0	1	2	0	1	1	2	2	2	0	1	1	2	2	2	0	0	0	0	0	1	2	2	0
1	1	2	0	2	0	1	0	1	0	0	2	1	1	2	0	0	2	0	0	0	1	2	1	0	1	0
2	2	0	1	2	2	2	1	2	1	2	0	1	2	2	0	1	1	0	2	2	2	0	2	0	2	2
1	1	0	0	1	1	0	0	1	2	1	2	1	1	0	0	0	0	2	1	2	1	1	2	2	2	0
0	2	0	1	0	2	1	0	1	1	2	2	2	2	0	0	2	1	2	1	1	1	1	2	1	2	2

projective group of automorphisms generated by:

0	1	2	2	0	0	0
0	0	0	2	2	2	0
0	0	0	2	2	2	1
0	2	0	1	1	1	0
0	0	2	0	2	2	0
2	2	1	0	0	1	0
2	0	0	0	1	0	0