The generator matrix

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

generates a code of length 25 over Z2[X]/(X^3) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+126x^21+245x^22+238x^23+289x^24+302x^25+270x^26+254x^27+178x^28+82x^29+25x^30+18x^31+12x^32+2x^33+4x^34+2x^35

The gray image is a linear code over GF(2) with n=100, k=11 and d=42.
This code was found by Heurico 1.16 in 0.0543 seconds.