The generator matrix

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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+5x^82+16x^83+6x^84+2x^86+1x^88+1x^90

The gray image is a code over GF(2) with n=162, k=5 and d=82.
This code was found by Heurico 1.16 in 0.116 seconds.