The generator matrix

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

generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+246x^46+208x^48+312x^49+248x^51+402x^52+114x^54+240x^55+132x^57+210x^58+22x^60+48x^61+2x^66+2x^72

The gray image is a linear code over GF(3) with n=78, k=7 and d=46.
This code was found by Heurico 1.16 in 0.733 seconds.