The generator matrix

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

generates a code of length 25 over Z2[X]/(X^3) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+100x^20+282x^21+267x^22+586x^23+385x^24+820x^25+429x^26+636x^27+267x^28+202x^29+69x^30+26x^31+14x^32+8x^33+3x^34+1x^36

The gray image is a linear code over GF(2) with n=100, k=12 and d=40.
This code was found by Heurico 1.16 in 0.195 seconds.