The generator matrix

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

generates a code of length 26 over Z3[X]/(X^3) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+234x^44+244x^45+702x^47+1094x^48+2916x^50+3042x^51+1458x^52+5094x^53+3156x^54+918x^56+380x^57+324x^59+72x^60+18x^62+10x^63+20x^66

The gray image is a linear code over GF(3) with n=234, k=9 and d=132.
This code was found by Heurico 1.16 in 37.6 seconds.