The generator matrix

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

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+82x^22+70x^24+40x^26+30x^28+18x^30+9x^32+4x^34+2x^36

The gray image is a linear code over GF(2) with n=50, k=8 and d=22.
This code was found by Heurico 1.16 in 0.00681 seconds.