length n = 34
dimension k = 5
alphabet length q = 7

minimum distance d = 25

generator matrix:
0000111111111111110011111111111111
0011001122334455661100112233445566
0016253416161616343416253434343425
0134610043000043004361253434433452
1000006100255200165243162552252561

projective group of automorphisms generated by:
53000
25000
00300
00001
00050