length n = 30
dimension k = 4
alphabet length q = 8

minimum distance d = 24

generator matrix:
000111000111111111111111111111
011001111000234567223344556677
101010357246703050365625274734
110100462735040602542767342365

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100