The generator matrix

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

generates a code of length 25 over Z2[X]/(X^3) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+344x^21+360x^22+642x^23+422x^24+602x^25+444x^26+660x^27+244x^28+268x^29+58x^30+42x^31+5x^32+2x^33+2x^38

The gray image is a linear code over GF(2) with n=100, k=12 and d=42.
This code was found by Heurico 1.16 in 89.9 seconds.