The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  1  X  1  1  1  1  0  1  1  X  1  1  1  X  1  1  1  X  1  1  1  1  1  0 2X  1  1  1  1  1 2X  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0 2X  X 2X 2X 2X  X  X  X  X  X  X  X  X  1
 0  1  1  2  0 2X+1  2  1  0 2X+1  2  1 X+2  X 2X+1  1  0 X+1  X  2  1 2X+1 X+2  1  X X+1 X+2  1  X X+1 X+2  1 2X 2X+2  0 X+2 X+1  1  1 X+1  X 2X+1  2  1  1 2X 2X+2  1  0 2X  X 2X 2X 2X 2X+1  1 X+1  1  1  1  2 2X+2 X+2 2X+2 2X+2 2X+2  1  1  1  1  1  1  0  0  0  X  X  X  0 2X 2X+1
 0  0 2X  0  X 2X  X  0 2X  X  0 2X 2X  X  0  X  0  X 2X  X  X  0 2X 2X 2X  0  X 2X  X 2X  0  0  X  0 2X  X  0 2X  0 2X  0  X 2X  X  X  0 2X  X  X  0  0  X 2X 2X 2X 2X  X  X  0  0 2X  0  0  X  X 2X  X  0  0  X 2X 2X  0  X  X 2X  0 2X 2X  X 2X
 0  0  0  X  X 2X 2X  X  0  0 2X  0 2X  0 2X  0  X 2X  X  X  X  0  X  X  0 2X 2X  0  X  0  X  X  0 2X  X  X  0  X  0 2X  X 2X  X  0  0  0 2X  X  0  X  0  X  0  X  0 2X  0 2X 2X  0 2X  X 2X  X 2X  X  0  X  0  X  0  X  X 2X  X 2X  X  X 2X 2X 2X

generates a code of length 81 over Z3[X]/(X^2) who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+180x^158+54x^159+144x^161+132x^162+54x^165+144x^167+18x^170+2x^243

The gray image is a linear code over GF(3) with n=243, k=6 and d=158.
This code was found by Heurico 1.16 in 0.108 seconds.