length n = 39
dimension k = 5
alphabet length q = 7

minimum distance d = 28

generator matrix:
000000000110011111111111111111111111111
011111111001100112233445566112233445566
000000025002500162534342516341625251634
033556600340034111166116666222255225555
134162500000000432516615234163425524361

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

10000
03000
00300
00060
00002