The generator matrix

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

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+62x^15+177x^16+308x^17+573x^18+952x^19+1345x^20+1908x^21+2483x^22+3060x^23+3562x^24+3684x^25+3654x^26+3204x^27+2558x^28+2004x^29+1322x^30+842x^31+516x^32+280x^33+157x^34+68x^35+33x^36+8x^37+3x^38+4x^39

The gray image is a linear code over GF(2) with n=50, k=15 and d=15.
This code was found by Heurico 1.16 in 27.9 seconds.