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

minimum distance d = 25

generator matrix:
011110111111111111111111111111111111
101441023411112311222222333333444444
144014340211132123133344122244223344
440142234011312144334412224413332223
414403402313112132442433443422121332

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

10000
00100
01000
00001
00010