The generator matrix

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

generates a code of length 25 over Z2[X]/(X^3) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+52x^19+290x^20+326x^21+772x^22+826x^23+1217x^24+1168x^25+1308x^26+860x^27+761x^28+294x^29+212x^30+50x^31+34x^32+4x^33+12x^34+4x^35+1x^36

The gray image is a linear code over GF(2) with n=100, k=13 and d=38.
This code was found by Heurico 1.16 in 0.873 seconds.