The generator matrix

1 0 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 0 0 2 0 0 1 2 0 0 2 2 2 1 1 0 1 0 0 0 1 1 0 1 2 1 1 2 1 1 2 1 1 1 1 1 1 1 0 1 1 1 0 0 2 2 1 2 1 1 1 2 2 1 2 0 0 1 1 0 2 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 2 0 0 0 2 2 2 0 2 2 2 0 2 1 3 1 1 3 1 1 3 1 1 3 3 3 1 3 1 1 3 1 1 1 2 1 1 3 1 3 0 1 1 1 1 1 1 0 1 3 2 2 1
0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 3 2 2 1 3 3 0 3 1 1 0 1 0 3 1 2 1 0 1 2 0 2 2 3 1 0 2 2 3 1 3 2 3 1 2 1 2 1 3 2 0 0 3 0 3 0 0 1 0 3 2 3 2 2 2 2 1 1 3 0 0 3 0 1 2 1 1 2 1
0 0 0 1 0 0 0 0 0 0 0 1 0 1 3 1 2 3 1 3 2 2 1 3 2 0 0 3 1 0 3 1 0 1 1 2 2 1 0 1 3 1 1 0 3 0 2 1 1 2 3 1 3 2 3 2 2 1 3 1 2 2 0 3 0 0 1 1 3 0 0 3 1 3 3 0 0 1 1 0 2 2 0 2 1
0 0 0 0 1 0 0 0 1 1 1 2 2 0 2 3 1 3 2 0 2 3 1 3 3 1 0 1 2 2 3 1 0 3 2 2 0 0 1 2 2 2 1 1 1 3 2 0 1 3 3 0 0 0 3 3 3 2 2 0 0 1 2 2 1 3 2 0 3 3 0 1 2 0 1 0 0 0 2 0 1 1 0 0 0
0 0 0 0 0 1 0 1 0 1 3 2 2 1 1 3 0 2 1 2 3 1 3 2 3 0 2 2 3 2 1 1 3 0 2 1 3 1 3 2 1 3 3 1 3 2 1 1 1 0 2 1 1 1 0 0 3 1 0 3 3 1 3 1 2 1 2 0 0 3 2 0 1 3 2 0 1 3 2 2 0 1 2 1 0
0 0 0 0 0 0 1 1 3 2 1 1 3 3 0 0 0 2 2 0 2 3 1 1 2 1 1 0 3 3 1 0 1 1 1 2 1 0 1 0 0 3 2 2 0 1 2 2 3 1 0 0 2 2 2 2 1 3 1 1 1 0 2 2 2 3 2 2 3 2 1 1 2 2 1 2 0 1 0 2 3 3 3 3 1
0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0

generates a code of length 85 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+172x^70+707x^72+1302x^74+1816x^76+2435x^78+2889x^80+3275x^82+3667x^84+3776x^86+3463x^88+3017x^90+2484x^92+1775x^94+1080x^96+529x^98+247x^100+90x^102+26x^104+13x^106+2x^108+1x^112+1x^144

The gray image is a code over GF(2) with n=170, k=15 and d=70.
This code was found by Heurico 1.10 in 154 seconds.