The generator matrix

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

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+60x^15+163x^16+344x^17+580x^18+876x^19+1364x^20+1902x^21+2501x^22+3162x^23+3562x^24+3674x^25+3597x^26+3142x^27+2544x^28+1990x^29+1354x^30+878x^31+538x^32+278x^33+158x^34+70x^35+20x^36+4x^37+1x^38+4x^39+1x^42

The gray image is a linear code over GF(2) with n=50, k=15 and d=15.
This code was found by Heurico 1.11 in 10.5 seconds.