length n = 27
dimension k = 5
alphabet length q = 4

minimum distance d = 17

generator matrix:

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

projective group of automorphisms generated by:

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