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  X  1
 0 X^2  0  0  0  0 X^2 2X^2 2X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 2X^2 2X^2  0  0  0 X^2 X^2
 0  0 X^2  0  0 X^2 2X^2  0 2X^2  0 X^2 X^2 2X^2 2X^2  0 X^2  0 X^2  0 2X^2 X^2 X^2 2X^2  0 X^2
 0  0  0 X^2  0 2X^2 2X^2 X^2  0 X^2 X^2  0  0 X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 2X^2
 0  0  0  0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2  0 2X^2  0  0 2X^2 2X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 2X^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+130x^45+162x^48+1458x^50+324x^51+86x^54+24x^63+2x^72

The gray image is a linear code over GF(3) with n=225, k=7 and d=135.
This code was found by Heurico 1.16 in 0.0375 seconds.