The generator matrix

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

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+95x^14+422x^16+1104x^18+2344x^20+5138x^22+7476x^24+6928x^26+5072x^28+2736x^30+993x^32+352x^34+72x^36+30x^38+4x^40+1x^46

The gray image is a linear code over GF(2) with n=50, k=15 and d=14.
This code was found by Heurico 1.16 in 60.1 seconds.