The generator matrix

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

generates a code of length 26 over Z3[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+426x^49+312x^50+10x^51+558x^52+396x^53+8x^54+414x^55+36x^56+6x^57+6x^58+12x^59+2x^60

The gray image is a linear code over GF(3) with n=234, k=7 and d=147.
This code was found by Heurico 1.16 in 5.1 seconds.