The generator matrix

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

generates a code of length 25 over Z3[X]/(X^3) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+114x^46+144x^47+190x^48+90x^49+1056x^50+372x^51+36x^52+54x^53+66x^55+36x^56+2x^57+18x^58+6x^59+2x^72

The gray image is a linear code over GF(3) with n=225, k=7 and d=138.
This code was found by Heurico 1.16 in 0.419 seconds.