The generator matrix

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

generates a code of length 85 over Z4 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+93x^80+88x^82+122x^84+80x^86+72x^88+24x^90+11x^92+2x^96+2x^100+8x^104+1x^108+8x^112

The gray image is a code over GF(2) with n=170, k=9 and d=80.
This code was found by Heurico 1.16 in 5.01 seconds.