The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  2  1  1 12  0  1  1  1  8  2  1  0  2  2  1
 0  2  0  2  0  0  2 10  6  4  8 10  6  8  6  2  2 10  6  6  4  2 14  2 12  0  0
 0  0  2  2  0 14  2  4  2  2 14  2  0  4  0 14 12 12  6 14  2  0  8  2  2 12  0
 0  0  0  4  0  0  0  0  0  0  0  8  4 12 12  8 12 12  8 12  4  8  4  4  8  0  0
 0  0  0  0 12  4  0  4  4  8  8  4  4 12  4  0  8  0  0  8 12 12  0  8 12 12  0
 0  0  0  0  0  8  8  0  8  8  0  0  0  8  0  8  0  8  8  0  0  8  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+60x^20+276x^21+319x^22+1126x^23+1553x^24+4148x^25+5292x^26+7286x^27+5156x^28+4236x^29+1566x^30+1138x^31+317x^32+172x^33+52x^34+50x^35+16x^36+3x^38+1x^40

The gray image is a code over GF(2) with n=216, k=15 and d=80.
This code was found by Heurico 1.16 in 5.63 seconds.