The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^16+108x^18+76x^19+267x^20+114x^21+446x^22+802x^23+1658x^24+2600x^25+5588x^26+9104x^27+5627x^28+2780x^29+1716x^30+716x^31+433x^32+136x^33+268x^34+52x^35+105x^36+2x^37+62x^38+2x^39+10x^40+4x^42+1x^44

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 4.83 seconds.