The generator matrix

 1  0  0  0  0  1  1  1  1 X^2  1  1  1  1  1 X^2+X  X X^2 X^2  1 X^2+X  1  1  1  1
 0  1  0  0  0 X^2  1 X^2+1 X+1  1  X X^2+X X^2+X X+1  0  1  1  1 X^2  0 X^2+X  0  0 X^2+1  0
 0  0  1  0  0 X^2+X+1 X+1  X  X X^2+X+1 X^2  1 X^2+X  0 X^2+X+1  0 X^2+1  1  1  X X^2  0 X^2  1  0
 0  0  0  1  0  1  X X^2+1  0 X^2+1 X^2  1 X+1 X^2+X+1 X^2+X X+1 X^2  1 X^2+1  1  1  X  1 X+1 X^2
 0  0  0  0  1  1 X^2  X X^2+1 X^2+X+1  1 X^2  X X^2+X+1 X+1  X  1 X^2+X X+1  0 X^2+1  1 X+1  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+60x^18+368x^19+743x^20+1570x^21+2397x^22+3984x^23+4421x^24+5514x^25+4575x^26+4132x^27+2417x^28+1478x^29+643x^30+312x^31+98x^32+46x^33+5x^34+4x^35

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 9.9 seconds.