The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  0  0  0  X  0  0  X  0  X  X  1  1
 0  1  0  1  0  1  1  0  X  1 X+1  1  1  0  1  1  1  1  0  X  1  X  1  X  X
 0  0  1  1  1  0  1  0  1 X+1  X  0  1  1  0  X  1 X+1  1  1  0  1  1  X  1
 0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  0  X  0  0  0  0  X  X  X
 0  0  0  0  X  0  0  0  X  0  0  X  X  X  0  X  X  0  0  0  X  X  X  0  X
 0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  0  0  X  0  X  X  X  X  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  X  X  X  0  0  0  0  X  X
 0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  0  X  X  X  X  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+48x^18+72x^19+115x^20+112x^21+159x^22+184x^23+197x^24+288x^25+192x^26+184x^27+154x^28+112x^29+102x^30+72x^31+41x^32+8x^34+3x^36+3x^38+1x^40

The gray image is a linear code over GF(2) with n=50, k=11 and d=18.
This code was found by Heurico 1.16 in 0.133 seconds.