The generator matrix

 1  0  0  1  1  1  0  1  0  1 X^2  1 X^2+X  1  1  X  1  1 X^2+X  1 X^2  0  1 X^2+X  1  1 X^2+X  1
 0  1  0  0  1  1  1  0 X^2  1  1 X+1  1  X  X  1 X^2 X+1 X^2+X X^2+X+1  1 X^2 X^2+X  1  X  1 X^2  X
 0  0  1  1 X^2  1 X^2+1 X+1  1  X X^2+X X+1  1  0  0 X^2+1  1  X  1 X^2+X  0  1  X X^2+X+1 X^2+1 X^2  1 X+1
 0  0  0  X  0 X^2 X^2 X^2 X^2+X X^2+X  X  X  X X^2  X  0  0  0  0  X  X  X X^2  0  0  X  X 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+130x^24+240x^25+320x^26+244x^27+315x^28+204x^29+232x^30+148x^31+111x^32+52x^33+32x^34+8x^35+11x^36

The gray image is a linear code over GF(2) with n=112, k=11 and d=48.
This code was found by Heurico 1.11 in 0.031 seconds.