The generator matrix

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

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+25x^18+110x^19+178x^20+356x^21+620x^22+914x^23+1231x^24+1320x^25+1238x^26+946x^27+602x^28+356x^29+156x^30+78x^31+31x^32+16x^33+9x^34+4x^36+1x^40

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 0.986 seconds.