length n = 49
dimension k = 5
alphabet length q = 7

minimum distance d = 37

generator matrix:
0000001111111111111111111000000111111111111111111
0111111122223333344444466111111000001111222555556
0022455602351134601223336011466001231356356034454
0001432405050632645132510214246450430615313651460
1453654162513565434263253462532353322433213542533

projective group of automorphisms generated by:
66240
44440
46200
10450
00001