length n = 34
dimension k = 4
alphabet length q = 9

minimum distance d = 27

generator matrix:
0001000111111111111111111111111111
0010111000116688113344556778225577
0100168168060108473817565143572725
1000618618601080748371655413757252

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001