The generator matrix

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

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+196x^45+504x^46+778x^48+1650x^49+1456x^51+1674x^52+212x^54+54x^55+16x^57+6x^58+8x^60+2x^63+4x^66

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 0.0441 seconds.