The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1 X^2+X X^2  1  1  X  1  1  1 X^2  1  0  1  1  1
 0  1  1  0 X^2+X+1  1  X X^2+X+1  1  0 X+1  1  1 X^2+X+1 X^2+1  1 X^2+X  0 X+1  1 X^2+1  1 X^2+X X^2 X^2
 0  0  X  0 X^2+X X^2  0  0 X^2+X X^2+X  X X^2+X X^2 X^2  0 X^2+X X^2+X  X X^2+X X^2+X X^2+X X^2 X^2+X  X  X
 0  0  0  X  0 X^2 X^2+X  X X^2 X^2+X  X  X X^2+X X^2 X^2  0  0 X^2+X  X  0  X  0 X^2  0  0
 0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 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+33x^20+98x^21+229x^22+178x^23+386x^24+234x^25+376x^26+172x^27+215x^28+62x^29+29x^30+18x^31+3x^32+6x^33+6x^34+2x^36

The gray image is a linear code over GF(2) with n=100, k=11 and d=40.
This code was found by Heurico 1.16 in 0.064 seconds.