The generator matrix

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

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+672x^45+144x^46+1638x^48+864x^49+1458x^50+2778x^51+3672x^52+2916x^53+2936x^54+1152x^55+1152x^57+282x^60+18x^63

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 0.673 seconds.