The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  0  4  1  0  0  2  1  8  0  1  1
 0  2  0  0  0  2  6 14  0  8 14  6  2 12  2  4  0  2  6  2  2  2 12  4  2 12  2
 0  0  2  0  2  2  2  0  4 14 10  0  6  8 12 10  2  0 14  2  2 10  2  2 14 12  0
 0  0  0  2  2  0  2 10  8  2  0 14 14 14  2 12 14  4  4  0  2  6  2  2  0  6  4
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  0  8  8  0  0  0  8  0  0
 0  0  0  0  0  8  0  8  8  8  0  0  8  8  0  8  0  8  0  0  8  0  0  8  8  8  0

generates a code of length 27 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+212x^21+456x^22+1160x^23+1580x^24+3892x^25+5416x^26+7330x^27+5334x^28+4038x^29+1661x^30+1084x^31+343x^32+176x^33+47x^34+26x^35+6x^36+2x^37+3x^38+1x^42

The gray image is a code over GF(2) with n=216, k=15 and d=84.
This code was found by Heurico 1.16 in 21.2 seconds.