The generator matrix

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

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+29x^22+37x^24+32x^26+24x^28+2x^30+1x^32+1x^38+1x^40

The gray image is a linear code over GF(2) with n=50, k=7 and d=22.
This code was found by Heurico 1.16 in 0.00369 seconds.