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

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+120x^46+108x^47+34x^48+96x^49+1620x^50+36x^51+8x^54+96x^55+54x^56+12x^58+2x^75

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 0.759 seconds.