length n = 13
dimension k = 5
alphabet length q = 3

minimum distance d = 6

generator matrix:
0011001101111
0122111210001
1000111220000
0201012001221
0210020202121

projective group of automorphisms generated by:
10000
01000
00100
00010
00001

00001
01000
00100
10000
00010