The generator matrix

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

generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+62x^45+60x^46+108x^47+88x^48+48x^49+178x^51+68x^54+48x^55+54x^56+2x^57+6x^58+2x^60+4x^63

The gray image is a linear code over GF(3) with n=75, k=6 and d=45.
This code was found by Heurico 1.16 in 0.00444 seconds.