length n = 34
dimension k = 4
alphabet length q = 8

minimum distance d = 27

generator matrix:
0001111111110001111111111111111111
1110002335661110002245571125113366
2335660003234552274500051521361316
6563236560002274550022705121363161

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100