length n = 29
dimension k = 5
alphabet length q = 7

minimum distance d = 20

generator matrix:
00011111111111111111111111111
01100112233445566112233445566
02500162534342516341625251634
00034111166116666222255225555
10000345261162543614352253416

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

10000
03000
00300
00060
00002