The generator matrix

 1  0  0  1  1  1  0 X^2  1  1 X^2  1 X^2+X  1  1  X  0  X  1  1  1  1  0 X^2+X  1  1 X^2+X  1
 0  1  0  0 X^2+1 X^2+1  1  X X^2  1  1 X^2+X  1 X+1 X^2+X  1  1  1  1 X^2+X+1 X^2+1 X^2  1  0  1 X^2+X+1  1  1
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1  X X^2+1  1  1  0 X^2 X^2+X  1 X^2+X X+1  0 X+1 X^2+X X^2+X X^2  1 X^2+X+1 X^2+X+1 X^2+X+1 X^2+1
 0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2 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+166x^25+167x^26+202x^27+108x^28+120x^29+55x^30+96x^31+35x^32+50x^33+17x^34+6x^35+1x^38

The gray image is a linear code over GF(2) with n=112, k=10 and d=50.
This code was found by Heurico 1.16 in 5.38 seconds.