The generator matrix

 1  0  1  1  1  0  1  1  0  1 X^2  1  1 X^2  1  X  0  1  X X^2  0  1  X X^2  1
 0  1  1  0  1  1  0 X+1  1 X^2  1 X+1  0  1 X^2+X+1  1  X X^2 X^2+X  1  1  X X^2  1  0
 0  0  X  0  0  0  0  0  0 X^2 X^2  X  X X^2+X X^2+X  X X^2 X^2+X X^2 X^2+X  X  X  0 X^2  0
 0  0  0  X  0  0 X^2+X X^2 X^2+X  0  X  X  X  0 X^2+X X^2+X X^2+X  X X^2+X X^2+X  X  X  X X^2+X  0
 0  0  0  0  X X^2+X X^2+X X^2  X  X  0 X^2  0 X^2  X X^2+X X^2+X  X X^2 X^2 X^2 X^2+X  0  0  0
 0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  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+59x^18+114x^19+246x^20+392x^21+649x^22+916x^23+1076x^24+1250x^25+1129x^26+922x^27+659x^28+396x^29+199x^30+96x^31+63x^32+10x^33+12x^34+2x^36+1x^44

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 1.02 seconds.