The generator matrix

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

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+23x^24+76x^25+32x^26+124x^27+20x^28+116x^29+29x^30+52x^31+18x^32+16x^33+1x^34+2x^36+1x^38+1x^50

The gray image is a linear code over GF(2) with n=112, k=9 and d=48.
This code was found by Heurico 1.16 in 0.0106 seconds.