The generator matrix

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

generates a code of length 28 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+99x^24+48x^25+212x^26+80x^27+177x^28+80x^29+178x^30+48x^31+78x^32+8x^34+11x^36+2x^38+2x^40

The gray image is a linear code over GF(2) with n=112, k=10 and d=48.
This code was found by Heurico 1.16 in 0.0263 seconds.