The generator matrix

 1  0  1  1  1  0  1  1  X  1 X^2+X  1  1  1  1 X^2  1  1  X X^2+X  0  1  0 X^2  X
 0  1  1  0 X+1  1  X X^2+X+1  1 X^2+1  1 X^2+X X^2 X+1 X^2+1  1 X^2+X+1  0  1  1  1  X  1  X  0
 0  0  X X^2+X  0 X^2+X  X X^2+X  X  0 X^2  0  X  0 X^2  X  X  0 X^2+X X^2  0 X^2+X X^2  X X^2
 0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0
 0  0  0  0 X^2  0  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2
 0  0  0  0  0 X^2  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0
 0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  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 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2 X^2  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+84x^18+16x^19+284x^20+224x^21+773x^22+752x^23+1433x^24+1088x^25+1416x^26+752x^27+760x^28+224x^29+274x^30+16x^31+77x^32+12x^34+4x^36+1x^38+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 0.912 seconds.