The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+178x^23+266x^24+564x^25+659x^26+846x^27+603x^28+546x^29+232x^30+142x^31+23x^32+24x^33+3x^34+2x^35+3x^36+2x^37+2x^38

The gray image is a code over GF(2) with n=216, k=12 and d=92.
This code was found by Heurico 1.16 in 0.115 seconds.