The generator matrix

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

generates a code of length 85 over Z4 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+9x^82+8x^83+21x^84+48x^85+21x^86+8x^87+9x^88+1x^100+1x^102+1x^138

The gray image is a code over GF(2) with n=170, k=7 and d=82.
This code was found by Heurico 1.16 in 0.116 seconds.