The generator matrix

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

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+60x^22+54x^23+165x^24+40x^25+101x^26+20x^27+18x^28+8x^29+30x^30+6x^31+8x^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 1.11 in 0 seconds.