The generator matrix

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

generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+48x^49+18x^51+8x^54+6x^58

The gray image is a linear code over GF(3) with n=75, k=4 and d=49.
This code was found by Heurico 1.16 in 0.00243 seconds.