The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1 X^2  1  1 X^2+X  0  1  1  1  1 X^2+X  1 X^2+X  1  1
 0  1  1 X^2+X X+1  1 X^2+1 X^2  1 X^2  1  1  X X^2+X+1  1  X  1 X^2 X^2+X X^2+X  1 X+1  1 X+1 X^2
 0  0  X  0 X^2  0 X^2  X  X X^2+X X^2+X X^2+X  X  X  0 X^2+X X^2  0 X^2  X  X  0  X  X X^2+X
 0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0  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+45x^22+116x^23+104x^24+44x^25+61x^26+80x^27+18x^28+12x^29+21x^30+4x^31+5x^32+1x^34

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 0.00927 seconds.