The generator matrix

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

generates a code of length 25 over Z3[X]/(X^3) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+312x^44+564x^45+972x^46+954x^47+1982x^48+3888x^49+1728x^50+3186x^51+3888x^52+1200x^53+740x^54+162x^56+68x^57+18x^59+18x^60+2x^66

The gray image is a linear code over GF(3) with n=225, k=9 and d=132.
This code was found by Heurico 1.16 in 2.29 seconds.