The generator matrix

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

generates a code of length 28 over Z2[X]/(X^3) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+92x^25+40x^26+132x^27+42x^28+80x^29+40x^30+48x^31+3x^32+20x^33+12x^35+2x^36

The gray image is a linear code over GF(2) with n=112, k=9 and d=50.
This code was found by Heurico 1.16 in 0.0407 seconds.