The generator matrix

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

generates a code of length 25 over Z3[X]/(X^3) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+104x^45+288x^46+618x^47+752x^48+768x^49+1218x^50+1144x^51+858x^52+570x^53+142x^54+12x^55+24x^56+28x^57+18x^58+14x^60+2x^63

The gray image is a linear code over GF(3) with n=225, k=8 and d=135.
This code was found by Heurico 1.16 in 0.0437 seconds.