length n = 123
dimension k = 6
alphabet length q = 3

minimum distance d = 78

generator matrix:

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

projective group of automorphisms generated by:

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

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

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

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