The generator matrix

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

generates a code of length 25 over Z2[X]/(X^3) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+165x^22+104x^23+271x^24+80x^25+172x^26+48x^27+102x^28+16x^29+45x^30+8x^31+10x^32+2x^34

The gray image is a linear code over GF(2) with n=100, k=10 and d=44.
This code was found by Heurico 1.11 in 0.016 seconds.