The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+30x^82+30x^84+2x^86+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 0.131 seconds.