length n = 21
dimension k = 5
alphabet length q = 3

minimum distance d = 12

generator matrix:
000000111111111111111
000111000111111222222
011001001011222111222
101010010012122122112
110100100012212212121

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

01000
10000
00100
00010
00001