length n = 34
dimension k = 4
alphabet length q = 4

minimum distance d = 24

generator matrix:
0001110001111111110001111111110111
0110011110001122331110001122331023
1010101231230201031231230302012302
1101002132132010303213213020103230

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100