length n = 39
dimension k = 4
alphabet length q = 2

minimum distance d = 20

generator matrix:
000100010001000100011101110111011101111
001000100010001001100110111011101110111
010001000100010010101011011101110111011
100010001000100011010011101110111011101

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001