length n = 13
dimension k = 5
alphabet length q = 4

minimum distance d = 6

generator matrix:
0000101111111
0001010111123
0010011011213
0100011102113
1111133330000

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

00100
00010
10000
01000
00001