The generator matrix

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

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+24x^17+98x^18+136x^19+193x^20+292x^21+298x^22+360x^23+380x^24+416x^25+483x^26+404x^27+352x^28+260x^29+165x^30+112x^31+63x^32+32x^33+11x^34+12x^35+3x^36+1x^38

The gray image is a linear code over GF(2) with n=50, k=12 and d=17.
This code was found by an older version of Heurico in 0 seconds.