length n = 30
dimension k = 5
alphabet length q = 3

minimum distance d = 18

generator matrix:
000000111100001111111111111111
000111000101110001111111222222
011001001010110110011222111222
101010010011011010102122122112
110100100011101101002212212121

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

01000
10000
00100
00010
00001