The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X X^2  1  1
 0  X 2X  0 2X^2+X 2X X^2+2X X^2 2X^2+X 2X^2+X  0 2X 2X^2 X^2+2X  0 2X^2 2X^2+X X^2+X  0 2X^2 2X 2X^2+2X 2X^2+X X^2 2X^2+X 2X^2
 0  0 X^2  0  0  0 2X^2  0 2X^2 2X^2 X^2 2X^2 2X^2 2X^2  0 2X^2 2X^2  0 X^2 X^2 X^2  0  0  0 2X^2 X^2
 0  0  0 X^2  0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2  0 X^2 X^2  0 2X^2 X^2 X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 2X^2
 0  0  0  0 2X^2 2X^2 X^2  0 2X^2 X^2 2X^2 2X^2 X^2  0 X^2 2X^2 X^2  0 X^2  0  0 X^2 X^2 2X^2 2X^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+220x^45+546x^48+972x^50+1210x^51+1944x^53+1294x^54+258x^57+82x^60+20x^63+6x^66+4x^69+4x^72

The gray image is a linear code over GF(3) with n=234, k=8 and d=135.
This code was found by Heurico 1.16 in 0.112 seconds.