The generator matrix

 1  0  0  1  1  1  2 14  1  1  1  1  0  4  1  1  8  1  1  1 12  1  1  1  4 12 14
 0  1  0  2 13  7  1  1  9  6 10 11  1  6 15  6  0  5  8  9  6  7 13  4  1  2  1
 0  0  1  1 11  2  1  0  6  0  3  7  1  1  4 12  1  1  4 12  1 10 14  6  4  4  3
 0  0  0  4 12  0  8  4  0  0  8  0  4  4 12 12 12  4  8 12  8 12  4 12  0  4 12
 0  0  0  0  8  0  8  8  8  8  8  8  0  0  0  8  8  8  8  8  8  8  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  0  8  8  0  8  8  0  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+96x^21+539x^22+1302x^23+3997x^24+6640x^25+13385x^26+13616x^27+13369x^28+6682x^29+4074x^30+1254x^31+422x^32+84x^33+46x^34+20x^35+3x^36+2x^37+3x^38+1x^42

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 11.9 seconds.