The generator matrix

 1  0  1  1  1 14  1  1  8  1 10  1  8  1  1  1  0  1  1  6  1  4  1  6  1  2  8
 0  1 11  6  1  1  3  8  1 10  1  5  1  3  6 11  1  6 11  1  4  1 10  1  6 12  1
 0  0 12  0  0  0  0  4  4 12 12  4  8  4  0  4  0 12  8 12  8 12 12  0  8  0  8
 0  0  0 12  0  4  4  4 12  8  8  4  8  0 12  4  4  4  8  4  0  0 12  8  8  4  8
 0  0  0  0  4  8 12  4  4 12  4  0  4  4 12 12  4  0  8  0  4  8  0  8  0 12 12

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

Homogenous weight enumerator: w(x)=1x^0+30x^21+160x^22+338x^23+848x^24+1488x^25+3627x^26+3452x^27+3546x^28+1538x^29+893x^30+266x^31+115x^32+44x^33+21x^34+8x^35+2x^36+4x^37+3x^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 1.1 seconds.