The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+25x^18+38x^19+109x^20+230x^21+503x^22+1224x^23+4617x^24+5928x^25+15016x^26+9764x^27+15678x^28+5892x^29+4338x^30+1224x^31+561x^32+232x^33+77x^34+38x^35+21x^36+6x^37+7x^38+5x^40+2x^42

The gray image is a code over GF(2) with n=216, k=16 and d=72.
This code was found by Heurico 1.16 in 11.3 seconds.