The generator matrix

 1  0  0  0  0  1  1  1  1 X^2  1  1  1  1  1 X^2+X  X X^2 X^2  1  1  1  1 X^2 X^2+X  0  1  1
 0  1  0  0  0 X^2  1 X^2+1 X+1  1  X X^2+X X^2+X X+1  0  1  1  1 X^2 X^2 X^2+1 X^2+X+1 X^2+X+1  1  X  1 X^2+1  0
 0  0  1  0  0 X^2+X+1 X+1  X  X X^2+X+1 X^2  1 X^2+X  0 X^2+X+1  0 X^2+1  1  1  X  0 X^2+X+1 X+1 X^2+1  1  X X+1  0
 0  0  0  1  0  1  X X^2+1  0 X^2+1 X^2  1 X+1 X^2+X+1 X^2+X X+1 X^2  1 X^2+1  1  X X+1 X^2+1 X^2 X^2+X X^2+X+1 X^2+X X^2
 0  0  0  0  1  1 X^2  X X^2+1 X^2+X+1  1 X^2  X X^2+X+1 X+1  X  1 X^2+X X+1 X^2+X+1 X^2+X X^2+1  0 X^2 X^2+X+1 X^2+X  1  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+92x^21+417x^22+1076x^23+1658x^24+2534x^25+3515x^26+4420x^27+5046x^28+4538x^29+3913x^30+2716x^31+1429x^32+858x^33+305x^34+140x^35+90x^36+10x^37+10x^38

The gray image is a linear code over GF(2) with n=112, k=15 and d=42.
This code was found by Heurico 1.13 in 4.33 seconds.