The generator matrix

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

generates a code of length 82 over Z4 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+175x^80+32x^84+40x^88+7x^96+1x^112

The gray image is a code over GF(2) with n=164, k=8 and d=80.
This code was found by Heurico 1.16 in 32.9 seconds.