length n = 109
dimension k = 3
alphabet length q = 4

minimum distance d = 82

generator matrix:

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

projective group of automorphisms generated by:

1	0	0
0	1	0
0	0	1

1	0	0
0	1	0
0	0	1