length n = 16
dimension k = 5
alphabet length q = 7

minimum distance d = 9

generator matrix:
0000111111111111
0111112233445566
0000162534342516
0356111166116666
1000164325523461

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

10000
03000
00300
00060
00002