The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  1  1  2  4  0  2  4  2  2  2  2  4  4  1  1  1
 0 12  0 12  0 12  0 12 12  0 12  8  4 12 12  4 12 12 12  0 12 12 12  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  0  0  8  8  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  8  8  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  8  0  0  8  0  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  0  8  0  8  8  8  0  0  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  8  0  8  8  0  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  0  0  8  8  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0
 0  0  0  0  0  0  0  0  0  8  0  8  0  8  8  0  8  8  0  0  0  8  8  0  8  8  0
 0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  0  0  8  0  8  0  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+122x^16+4x^17+150x^18+216x^20+180x^21+758x^22+384x^23+2800x^24+840x^25+10246x^26+1280x^27+10288x^28+840x^29+2870x^30+384x^31+781x^32+180x^33+210x^34+120x^36+4x^37+82x^38+8x^40+18x^42+2x^46

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 4.61 seconds.