The generator matrix

 1  0  1  1  1 X^2+X  1  1  1  0  1  1 X^2+X  1  1  1  1  1  0  1  1  X  1  1 X^2+X
 0  1 X+1 X^2+X  1  1 X+1 X^2+1  0  1 X^2+1 X^2+X  1 X^2+1 X+1 X^2+X+1 X+1  0  1 X^2+1 X^2+X+1 X^2+X X^2+1 X^2+X  1
 0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2  0  0 X^2 X^2
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0
 0  0  0  0 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2 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+89x^22+190x^24+144x^26+62x^28+22x^30+1x^32+2x^36+1x^38

The gray image is a linear code over GF(2) with n=100, k=9 and d=44.
This code was found by Heurico 1.16 in 0.0141 seconds.