length n = 21
dimension k = 5
alphabet length q = 2

minimum distance d = 10

generator matrix:
000010000111111011111
000100111000111101111
001001011011001110111
010001101101010111011
100001110110100111101

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000