length n = 20
dimension k = 5
alphabet length q = 3

minimum distance d = 12

generator matrix:
01000010011011111111
00111111112112212222
10000100202201221121
10001001020120121211
01010002100222022111

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

10000
01000
00100
00010
00001