The generator matrix

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

generates a code of length 28 over Z2[X]/(X^3) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+110x^21+460x^22+898x^23+1660x^24+2818x^25+3232x^26+4810x^27+4566x^28+4982x^29+3460x^30+2854x^31+1530x^32+790x^33+392x^34+142x^35+50x^36+4x^37+8x^38+1x^48

The gray image is a linear code over GF(2) with n=112, k=15 and d=42.
This code was found by Heurico 1.16 in 11.9 seconds.