length n = 39
dimension k = 5
alphabet length q = 2

minimum distance d = 19

generator matrix:
000000000000000011111111111111111111111
000011111111111100000000000111111111111
111100000000111100000001111000011111111
001100011011001100110110011001100100111
010100101101010101011010101010101001011

projective group of automorphisms generated by:
10000
01000
00100
00001
00111