The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^21+249x^22+772x^23+1494x^24+3832x^25+5995x^26+8016x^27+5840x^28+3944x^29+1551x^30+660x^31+181x^32+80x^33+45x^34+24x^35+4x^36+2x^37

The gray image is a code over GF(2) with n=216, k=15 and d=84.
This code was found by Heurico 1.16 in 4.05 seconds.