The generator matrix

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

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+157x^18+416x^20+672x^22+789x^24+806x^26+724x^28+388x^30+113x^32+21x^34+4x^36+4x^38+1x^40

The gray image is a linear code over GF(2) with n=50, k=12 and d=18.
This code was found by Heurico 1.16 in 33.7 seconds.