The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  1  X  1  X  1  1  1
 0  X  0  0  0  0  0  0  0  0  X  X  0  0  X  0  X  X  X  X  X  0  0  0  0
 0  0  X  0  0  0  0  0  0  X  X  X  0  X  X  X  0  X  0  0  0  X  0  0  0
 0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  0  X  X  X  0  0  0  X  0
 0  0  0  0  X  0  0  0  X  0  0  X  X  0  0  X  X  0  X  X  X  X  X  0  X
 0  0  0  0  0  X  0  0  X  0  X  0  0  X  0  X  X  X  0  X  0  0  X  0  X
 0  0  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  0  X  0  0  X  0  X  0
 0  0  0  0  0  0  0  X  X  X  0  0  X  X  X  X  0  0  0  X  0  X  X  X  0

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+20x^18+4x^19+41x^20+24x^21+41x^22+60x^23+36x^24+80x^25+28x^26+60x^27+26x^28+24x^29+30x^30+4x^31+19x^32+8x^34+5x^36+1x^38

The gray image is a linear code over GF(2) with n=50, k=9 and d=18.
This code was found by Heurico 1.16 in 1.1 seconds.