The generator matrix

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

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+76x^17+183x^18+288x^19+396x^20+484x^21+616x^22+700x^23+813x^24+908x^25+865x^26+862x^27+721x^28+464x^29+347x^30+242x^31+110x^32+48x^33+36x^34+18x^35+7x^36+4x^37+1x^38+2x^39

The gray image is a linear code over GF(2) with n=50, k=13 and d=17.
This code was found by Heurico 1.16 in 35.2 seconds.