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  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  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
 0  X  0  0  0  0  0  0  0 2X  X  X  X 2X  X  X  X  X  0  X  X  0  0  X 2X  X  0  0 2X  0  X 2X 2X 2X  X 2X  0  X 2X 2X 2X 2X  0  X  0  X  X  0  0  X  X 2X 2X 2X 2X  0  0 2X  0  X  X 2X 2X  0  0  X  X  0 2X  X 2X 2X  0  X 2X  0  X 2X 2X 2X 2X  0
 0  0  X  0  0  0  X  X  X  0 2X  X 2X  X  X  0  X  0 2X  X  X 2X 2X  0  X  0 2X  X 2X  0 2X 2X 2X  0 2X  0 2X  X  0  X 2X  X 2X 2X  0  0  0  X  X  X 2X  X  0 2X  X  0  0  0  X 2X  X  0 2X  0  X 2X  0 2X  X 2X 2X 2X 2X  X  0 2X  0  X  0  X 2X  0
 0  0  0  X  0  X 2X 2X  X  X 2X 2X  X  0 2X 2X  0  0 2X  X  0  X 2X  X 2X  X  X  0  X  X  X 2X 2X  0 2X  0  X 2X  X  0  X 2X 2X 2X  0  X  0  0 2X  0  X  0  0 2X 2X 2X 2X 2X  X  0  X  X  X 2X  X  0 2X  0  X  0  0  0  0  X 2X  0 2X  X 2X  X  0  0
 0  0  0  0  X 2X  X 2X  0 2X  0 2X 2X 2X  0 2X  0  X 2X  X  X 2X  X  X  X 2X  0 2X  0  X  0  0  X  0 2X  X  X  X  0  X 2X 2X  0  X 2X  0 2X  X  0 2X  X  0 2X 2X  0  0 2X  0 2X 2X  0  X  X  X  X  X  0  X  X  0  0  X  0 2X  X 2X  X  0 2X 2X 2X  0

generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+80x^162+486x^164+160x^165+2x^246

The gray image is a linear code over GF(3) with n=246, k=6 and d=162.
This code was found by Heurico 1.16 in 0.0887 seconds.