length n = 35
dimension k = 5
alphabet length q = 5

minimum distance d = 24

generator matrix:
00000011111111111111111111111111111
00011100011114411222222333333444444
01100100101141424122334224444123333
10101001001411433434144342222231234
11010010004111442343433411234342222

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

10000
00100
01000
00001
00010