The generator matrix

 1  0  0  0  1  1  1 X^2+X  1  1  1 X^2+X  1  X X^2  1  1  X  1  1  1  X  1  1  X X^2  1  1
 0  1  0  0  0  1 X^2+X+1  1  X X+1  X  X X^2+1  1  1  X X^2+X  X X^2+X X^2 X^2+1  1 X^2+X+1  X  0  0 X^2+1  X
 0  0  1  0  1  1  X X+1  1 X^2+1  X  1  0 X+1  X  0 X+1 X^2+X  X X+1  1 X^2+1 X^2+X  X  1  1 X+1 X^2
 0  0  0  1  1  0 X^2  0 X^2 X^2+X+1 X^2+X+1 X+1 X+1  1  1 X^2+X+1 X^2+X  1 X^2  1  X X^2+X X^2  X X^2+X+1  X X^2 X+1
 0  0  0  0  X  0  0 X^2 X^2 X^2+X X^2+X  X X^2 X^2 X^2  0  X  X  X X^2+X  0  X X^2+X  0 X^2+X  X  0  0
 0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0  0 X^2 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+132x^21+450x^22+998x^23+1625x^24+2448x^25+3527x^26+4488x^27+5116x^28+4772x^29+3677x^30+2580x^31+1582x^32+792x^33+337x^34+152x^35+59x^36+16x^37+9x^38+6x^39+1x^44

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 12.7 seconds.