length n = 20
dimension k = 5
alphabet length q = 7

minimum distance d = 12

generator matrix:
00001111111111111111
01110001111111666666
10110110011666111666
11011010106166166116
11101101006616616161

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

00001
01000
00010
00100
10000