The generator matrix

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

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+158x^20+116x^21+474x^22+392x^23+666x^24+520x^25+662x^26+400x^27+442x^28+100x^29+102x^30+8x^31+45x^32+10x^34

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 0.275 seconds.