The generator matrix

 1  0  0  1  1  1  X  1  1  1  1 X^2  1  0  X  1 X^2+X X^2+X  1  1  1  X  1  1  1
 0  1  0  1 X^2+X X^2+X+1  1 X^2  0 X+1 X+1  1 X^2+1  1  X  X  1  0 X^2+X+1 X^2+X+1 X^2+1  0 X+1  1  0
 0  0  1  1 X^2+X+1 X^2+X  1  X X+1 X+1  0  X X+1 X+1  1  1 X+1  1  X X^2  0  1 X+1 X^2+1  0
 0  0  0 X^2  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0
 0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0  0 X^2  0
 0  0  0  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0
 0  0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0  0  0 X^2 X^2 X^2  0  0

generates a code of length 25 over Z2[X]/(X^3) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+20x^18+66x^19+300x^20+292x^21+796x^22+700x^23+1422x^24+960x^25+1492x^26+708x^27+794x^28+276x^29+244x^30+60x^31+41x^32+8x^33+8x^34+2x^35+2x^36

The gray image is a linear code over GF(2) with n=100, k=13 and d=36.
This code was found by Heurico 1.16 in 0.675 seconds.