The generator matrix

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

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+31x^20+48x^22+44x^24+64x^26+38x^28+16x^30+11x^32+3x^36

The gray image is a linear code over GF(2) with n=50, k=8 and d=20.
This code was found by Heurico 1.16 in 6.29e-008 seconds.