length n = 21
dimension k = 6
alphabet length q = 3

minimum distance d = 11

generator matrix:
000011111101111111111
011100012210111111122
101201220011011111212
212020200111101112112
122122121211111011112
220212002011110121112

projective group of automorphisms generated by:
010000
001000
000100
100000
000010
000001

010000
000100
000001
001000
000010
100000