The generator matrix

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

generates a code of length 45 over Z3[X]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+150x^86+126x^87+204x^89+40x^90+30x^92+18x^93+60x^95+48x^96+12x^98+4x^99+24x^101+6x^104+6x^105

The gray image is a linear code over GF(3) with n=135, k=6 and d=86.
This code was found by Heurico 1.13 in 0.0127 seconds.