The generator matrix

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

generates a code of length 45 over Z3[X]/(X^2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+366x^87+208x^90+102x^96+34x^99+18x^105

The gray image is a linear code over GF(3) with n=135, k=6 and d=87.
This code was found by Heurico 1.16 in 6.78 seconds.