The generator matrix

 1  0  0  1  1  1  0  X  1  1 X^2+X  1  1  X  1  1  1  1 X^2  1  1  1  0  1  0
 0  1  0  0  1  1  1  X X^2+1 X^2+X  1 X+1  X  1  1  0 X+1 X^2 X^2+X X+1 X+1  0 X^2 X+1  X
 0  0  1  1  0 X+1  1  1  X X^2+1 X^2+X X+1 X^2 X+1 X^2+X X^2+1 X^2+X+1  X  1  0 X^2+X+1 X+1  1 X^2+1  1
 0  0  0  X X^2 X^2+X  X  X X^2+X X^2  X  0 X^2+X  0  0 X^2 X^2  0  X  X X^2+X  X X^2+X  X  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+108x^21+244x^22+286x^23+289x^24+296x^25+268x^26+192x^27+174x^28+120x^29+40x^30+18x^31+8x^32+4x^33

The gray image is a linear code over GF(2) with n=100, k=11 and d=42.
This code was found by Heurico 1.11 in 0.015 seconds.