The generator matrix

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

generates a code of length 45 over Z3[X]/(X^2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+102x^85+136x^87+192x^88+24x^90+48x^91+18x^93+60x^94+58x^96+78x^97+6x^100+4x^105+2x^108

The gray image is a linear code over GF(3) with n=135, k=6 and d=85.
This code was found by Heurico 1.16 in 0.0141 seconds.