The generator matrix

 1  0  0  0  0  1  1  1  X  1  1  X  X  X  1  X  0  1  X  X  0  1  0  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  X  1  1  1  X  1  1  X  X X+1  1  1  0
 0  0  1  0  0  0  1  1  1  1 X+1  0  1  X X+1  1  1 X+1  X  1  1  1  1 X+1  0
 0  0  0  1  0  1  1  X X+1  0 X+1  1 X+1  X  0  0  1  0  0  X  X  1  X  1  0
 0  0  0  0  1  1  X X+1  1  0  1  1  0  1  1  X  0 X+1  1 X+1 X+1  0  1  1  0
 0  0  0  0  0  X  0  X  0  X  0  0  X  X  X  X  X  0  0  0  X  0  0  0  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+49x^18+66x^19+130x^20+170x^21+153x^22+174x^23+180x^24+198x^25+188x^26+206x^27+156x^28+134x^29+108x^30+66x^31+43x^32+10x^33+11x^34+2x^36+3x^38

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 0.138 seconds.