The generator matrix

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

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+210x^44+262x^45+708x^46+1200x^47+2562x^48+3252x^49+6024x^50+8034x^51+10554x^52+11064x^53+8094x^54+4224x^55+1590x^56+624x^57+204x^58+312x^59+102x^60+12x^61+12x^62+4x^63

The gray image is a linear code over GF(3) with n=234, k=10 and d=132.
This code was found by Heurico 1.16 in 3.11 seconds.