length n = 30
dimension k = 4
alphabet length q = 3

minimum distance d = 19

generator matrix:
000111011100011111111111111111
011001101111100011222211122122
101010110112212202001211212212
110100111021221220120012112221

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001