length n = 36
dimension k = 5
alphabet length q = 7

minimum distance d = 26

generator matrix:
010000000011111111111111111111111111
001111111100112233445566112233445566
100000001600162534342516253416163425
003355660016111166116666444433443333
003416250000526134431625614325523416

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

10000
03000
00300
00060
00002