The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  0  X  1  1  1  X  1  1  X  X  1  X  X
 0  X  0  X  0  0  X X^2+X X^2 X^2  X X^2+X X^2  0 X^2  X X^2  X  X X^2+X X^2  X  X  0  0
 0  0  X  X  0 X^2+X  X X^2  0  X  X X^2+X  X X^2+X  0 X^2  X X^2+X X^2+X  X  X X^2+X  0 X^2+X  0
 0  0  0 X^2  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0
 0  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0  0
 0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0 X^2  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+59x^20+172x^22+302x^24+280x^26+124x^28+60x^30+25x^32+1x^36

The gray image is a linear code over GF(2) with n=100, k=10 and d=40.
This code was found by Heurico 1.16 in 0.0272 seconds.