length n = 42
dimension k = 5
alphabet length q = 2

minimum distance d = 20

generator matrix:
000010000100001111110000111111011110111111
000100001001110001110111000111101111011111
001000010010110110011011011001110111101111
010000100011011010101101101010111011110111
100001000011101101001110110100111101111011

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000