The generator matrix

 1  0  0  0  1  1  1 X^2 X^2+X  1  1 X^2+X  1 X^2  1  1  1  X X^2+X  0  1  1  0 X^2  1
 0  1  0  0  0  1  1  1  1 X^2+X X^2+X  1 X+1  X  1  X X^2  1  1  1 X^2 X^2+X  0  1  0
 0  0  1  0  1  1  0  1  1  X X+1  X  X  1 X+1  1  1 X^2  0 X^2+X+1  0  0  1  X  0
 0  0  0  1  1  0  1 X+1  X  1  0  1  X X+1  1 X^2+X+1 X^2+X X+1  X X^2+X  1 X^2+X+1 X^2+1  1  0
 0  0  0  0 X^2  0  0  0  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0
 0  0  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0
 0  0  0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0  0  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+80x^18+334x^19+750x^20+1608x^21+2319x^22+3982x^23+4530x^24+5512x^25+4494x^26+4106x^27+2430x^28+1544x^29+648x^30+282x^31+93x^32+40x^33+10x^34+4x^36+1x^38

The gray image is a linear code over GF(2) with n=100, k=15 and d=36.
This code was found by Heurico 1.16 in 9.71 seconds.