The generator matrix

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

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+284x^45+474x^46+2466x^47+1660x^48+2634x^49+9846x^50+4934x^51+6528x^52+17658x^53+4710x^54+3396x^55+3528x^56+750x^57+84x^58+36x^59+52x^60+6x^61+2x^66

The gray image is a linear code over GF(3) with n=234, k=10 and d=135.
This code was found by Heurico 1.16 in 2.58 seconds.