The generator matrix

 1  0  0  1  1  1  X  X  1  1  1  1 X^2 X^2+X  1  1  1  1  1 X^2  1 X^2+X  1  X  1
 0  1  0  0  1 X+1  1  1 X^2+X X+1 X^2+1 X^2+X  1  X  1 X^2 X^2+X X+1 X^2+X+1  1 X^2  1 X^2+X+1  0  0
 0  0  1  1  1  0 X+1  X X^2+1 X^2+1  X  X X^2+1  1  1 X+1 X+1  1  X X^2+X+1 X+1 X^2 X^2+X+1  1  0
 0  0  0  X X^2+X X^2  X X^2  X X^2+X X^2+X X^2+X  0  X  0  X  0  0 X^2 X^2 X^2  0  0  X  0
 0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 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+112x^20+112x^21+600x^22+248x^23+842x^24+304x^25+874x^26+256x^27+460x^28+96x^29+156x^30+8x^31+25x^32+2x^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 0.202 seconds.