length n = 70
dimension k = 5
alphabet length q = 5

minimum distance d = 52

generator matrix:
0000100000000111111111111011110000111111111111111111111111111111111111
0001000111111000000223344101111111000011222333444411112222223333334444
0010011002344002334040002110111123234424013024001323341223441123341223
0100034234002240023300400111012434432400140230132422333132242411433241
1000023340230423400002030111104234121342403304240032432311422324113423

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

10000
00100
01000
00001
00010