The generator matrix

 1  0  1  1  1  1  1  0  1  X  1  1  1  1 2X^2+X  1  X  1  1  1  1  1  1 2X^2+X  X  1
 0  1  1  2 2X^2+2X+1 2X^2+X 2X^2+2  1 2X^2  1 2X+1 2X^2+X+2 2X^2+2X 2X^2+X+2  1 X+1  1 X+1  0 2X^2+X+1 X+1 X^2 2X^2+X  1 2X^2+2X  X
 0  0 2X  0 2X^2 2X^2 2X^2+X 2X^2+2X X^2+X  X X^2+X 2X^2+2X 2X^2+X X^2 2X^2+2X 2X  X  0 2X^2+2X  X  X X^2+2X 2X X^2 X^2+X  X
 0  0  0 X^2 2X^2 X^2 2X^2  0 2X^2  0 X^2  0  0 2X^2 X^2 X^2 2X^2 X^2 X^2  0 2X^2  0 X^2 X^2  0 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+82x^45+192x^46+696x^47+846x^48+1026x^49+2430x^50+2450x^51+2814x^52+4116x^53+2406x^54+1230x^55+978x^56+234x^57+72x^58+36x^59+50x^60+12x^61+6x^62+4x^63+2x^69

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 0.382 seconds.