The generator matrix

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

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+124x^21+249x^22+244x^23+286x^24+302x^25+265x^26+240x^27+172x^28+96x^29+43x^30+12x^31+5x^32+6x^33+3x^34

The gray image is a linear code over GF(2) with n=100, k=11 and d=42.
This code was found by Heurico 1.16 in 0.0566 seconds.