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.