The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  X  1  X  1  1
 0  X  0  0 X^2 X^2+X X^2+X X^2+X  0 X^2 X^2 X^2+X X^2+X  0  0  X X^2  X  0  X X^2 X^2+X  X  X  0
 0  0  X  0 X^2+X X^2+X  X  0 X^2 X^2+X  0  X X^2  X X^2+X  X  X X^2+X  0 X^2+X X^2+X X^2  X X^2+X X^2+X
 0  0  0  X  X X^2  X X^2+X X^2 X^2  X X^2+X  0 X^2+X X^2+X X^2  0 X^2 X^2+X  X X^2+X X^2+X  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+86x^22+24x^23+126x^24+80x^25+104x^26+24x^27+35x^28+18x^30+13x^32+1x^44

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 4.74 seconds.