The generator matrix

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

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+23x^20+24x^21+19x^22+96x^23+26x^24+144x^25+22x^26+96x^27+8x^28+24x^29+20x^30+5x^32+2x^34+1x^36+1x^38

The gray image is a linear code over GF(2) with n=100, k=9 and d=40.
This code was found by Heurico 1.16 in 0.0112 seconds.