The generator matrix

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

generates a code of length 26 over Z3[X]/(X^3) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+110x^45+354x^46+1432x^48+1230x^49+486x^50+5340x^51+2448x^52+972x^53+5326x^54+1662x^55+112x^57+138x^58+42x^60+26x^63+4x^66

The gray image is a linear code over GF(3) with n=234, k=9 and d=135.
This code was found by Heurico 1.16 in 12.1 seconds.