The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+380x^21+1515x^22+5870x^23+13589x^24+31686x^25+47773x^26+59678x^27+48839x^28+32082x^29+13341x^30+5498x^31+1282x^32+458x^33+123x^34+26x^35+1x^36+2x^37

The gray image is a code over GF(2) with n=216, k=18 and d=84.
This code was found by Heurico 1.16 in 204 seconds.