The generator matrix

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

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+92x^42+102x^45+240x^48+780x^51+4374x^52+740x^54+78x^57+90x^60+42x^63+6x^66+10x^69+6x^72

The gray image is a linear code over GF(3) with n=234, k=8 and d=126.
This code was found by Heurico 1.16 in 0.118 seconds.