The generator matrix

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

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+240x^22+294x^24+290x^26+148x^28+36x^30+5x^32+10x^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 1.16 in 0.358 seconds.