The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+61x^20+210x^21+605x^22+1394x^23+3247x^24+7198x^25+11963x^26+16138x^27+11934x^28+7314x^29+3337x^30+1334x^31+492x^32+186x^33+89x^34+14x^35+8x^36+4x^37+6x^38+1x^44

The gray image is a code over GF(2) with n=216, k=16 and d=80.
This code was found by Heurico 1.16 in 13.6 seconds.