The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^82+6x^84+6x^88+2x^92+1x^96

The gray image is a code over GF(2) with n=164, k=6 and d=82.
This code was found by Heurico 1.16 in 0.117 seconds.