length n = 45
dimension k = 5
alphabet length q = 7

minimum distance d = 33

generator matrix:
000111111111111111111001111111111111111111111
011001123333444455566110000112222233445566345
113122261346013501445140146131344535262406350
124040565114632663210162635531502256541405456
201260236503231612344546551031642541102535362

projective group of automorphisms generated by:
00001
10006
01004
00104
00010