length n = 38
dimension k = 4
alphabet length q = 7

minimum distance d = 30

generator matrix:
00011111111100111111111111111111111111
11100011666611002244112244112234456666
16616606001624240402241214462561621346
61661660160042424020242141645266124613

projective group of automorphisms generated by:
1000
0010
0001
0100

0100
0010
0001
1000