The generator matrix

 1  0  1  1  1  4  1  1  6  1  1 12 14  1  1  1  1  0  2  4 12  1  1  4  1  1  1
 0  1  1  0  3  1  3  0  1  9  4  1  1  5  6 13  2  4  1  2  1  8 11  2 14 14  1
 0  0  2  0  2  8  4 10  2  4  2  6 14 12  6  0  4  2  0  2 12  8 10  2  0 12  0
 0  0  0  2  2 10 12 10 12 10  8 14 14  8 10  6  4  8  2  6  4  4  8  8 14  6  2
 0  0  0  0  4  0  8  8  8  8  8  8  4 12  4  4  4  4  8 12  4 12  0  8  4  8  8

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

Homogenous weight enumerator: w(x)=1x^0+204x^21+588x^22+1652x^23+3687x^24+7212x^25+11882x^26+14944x^27+11826x^28+7642x^29+3717x^30+1420x^31+482x^32+184x^33+68x^34+16x^35+4x^36+6x^37+1x^38

The gray image is a code over GF(2) with n=216, k=16 and d=84.
This code was found by Heurico 1.16 in 15.9 seconds.