The generator matrix

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

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+48x^23+28x^24+32x^26+16x^31+3x^32

The gray image is a linear code over GF(2) with n=50, k=7 and d=23.
This code was found by Heurico 1.10 in 28.5 seconds.