length n = 89
dimension k = 4
alphabet length q = 5

minimum distance d = 70

generator matrix:
00010001110111000111111111000111111111000000111111111111111111111111111111111111111111111
00100110011011111000112233111000114444111111000000222233334444112311231144112223334444144
01001010101101123123030201144144040014223344223344003400240023121313211414241342341234414
10001101001110321321302010414414401400342423342423340024002300211331214114424313242143441

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001