The generator matrix

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

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+216x^18+152x^19+1054x^20+952x^21+3000x^22+2764x^23+6002x^24+4548x^25+5840x^26+2768x^27+3215x^28+960x^29+904x^30+140x^31+221x^32+4x^33+24x^34+2x^36+1x^44

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 11.4 seconds.