length n = 30
dimension k = 5
alphabet length q = 4

minimum distance d = 20

generator matrix:
000010000111111001111111111111
000100011001123110011223312233
001001123230000010111121332312
010001321000320101103211123132
100003100213001111003223121323

projective group of automorphisms generated by:
00010
00100
10000
00001
01000

00100
00010
10000
01000
00001