The generator matrix

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

generates a code of length 26 over Z3[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+90x^42+168x^43+168x^45+456x^46+830x^48+834x^49+2916x^50+2534x^51+1272x^52+5832x^53+2506x^54+1110x^55+278x^57+462x^58+74x^60+72x^61+50x^63+26x^66+2x^69+2x^72

The gray image is a linear code over GF(3) with n=234, k=9 and d=126.
This code was found by Heurico 1.16 in 1.02 seconds.