The generator matrix

 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  2  2  2  0  0  0  1  1  1  1  2  2  2  0  0  0  1  1  1  1  2  0  2  0  2  0  2  1  1  1  1  2  0  2  2  0  2  0  2  2  0  2  0  2  0  2  1  1  1  1  1  1  1
 0  2  0  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  2  2  2  2  0  0  0  2  2  0  2  2  2  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  2  2  0  0  0  2  2  2  2  0  0  0  2  2  2  2  0  0  0  2  2  0  0  2
 0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  2  2  0  2  2  2  2  0  0  0  0  2  2  0  2  2  0  2  2  0  0  0  2  2  2  2  0  0  0  0  2  2  0  0  2  2

generates a code of length 81 over Z4 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+8x^85+3x^86+3x^88+1x^94

The gray image is a code over GF(2) with n=162, k=4 and d=85.
This code was found by Heurico 1.16 in 0.0922 seconds.