The generator matrix

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

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+79x^20+68x^22+123x^24+88x^26+92x^28+36x^30+19x^32+5x^36+1x^40

The gray image is a linear code over GF(2) with n=50, k=9 and d=20.
This code was found by Heurico 1.16 in 3.62e-008 seconds.