length n = 50
dimension k = 5
alphabet length q = 7

minimum distance d = 38

generator matrix:
00000000111111111111111111111111111111111111111111
00111111111111444444666666000000222222333333555555
11002345112566112566001346001256002345112566133446
11340250561612561612163004250610340250561612414363
00346521465213465213164253524613431256312564123456

projective group of automorphisms generated by:
62000
42000
00660
00230
00001