The generator matrix

 1  1  1  1  1  1  2  1  1  0  1  1  2  1  1 12  2  0  2  0  2  2  2  2  1  1  1
 0  2 12  6  0  6  6 12 10  2  0 12 10  6 10  2  6  2  6  2  6  6  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  0  8  0  0  8  8  0  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  8  0  0  0  8  0  8  8  8  8  0  0  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  8  8  8  8  0  8  8  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  0  0  8  8  0  8  0  8  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  0  8  0  0  0  0  0  0

generates a code of length 27 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+210x^16+160x^18+258x^19+544x^21+568x^22+666x^23+1976x^24+1184x^25+8736x^26+2084x^27+9536x^28+2144x^29+2768x^30+996x^31+565x^32+224x^33+90x^35+56x^38+2x^39

The gray image is a code over GF(2) with n=216, k=15 and d=64.
This code was found by Heurico 1.16 in 3.6 seconds.