The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^21+237x^22+592x^23+960x^24+1930x^25+2633x^26+3390x^27+2674x^28+1996x^29+985x^30+540x^31+131x^32+106x^33+47x^34+22x^35+10x^36+2x^37+2x^38

The gray image is a code over GF(2) with n=216, k=14 and d=84.
This code was found by Heurico 1.16 in 1.57 seconds.