length n = 19
dimension k = 5
alphabet length q = 7

minimum distance d = 12

generator matrix:
0111111111111111111
0111111222222444444
0123456123456123456
0421124214412142241
1145236145236145236

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

10000
02000
00300
00010
00005