The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  6  1  8 14 10 12  1  1  1  1  1  1  1  1  1  1
 0  1 11  6  5  1 13  0  1  2  3  1  6  1  1  1  1  3  8  5  7  1  4  6  0  3  0
 0  0 12  0  0  8  0 12 12  4  4  4  0  8  4  8  4  8  8  4  0  4 12 12 12  8  0
 0  0  0 12  8 12  4 12  8  0  4 12  0 12  8  8  4  0 12 12  4  0  8  4  0  4  8

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

Homogenous weight enumerator: w(x)=1x^0+28x^23+285x^24+432x^25+1207x^26+264x^27+1175x^28+388x^29+251x^30+24x^31+10x^32+12x^33+13x^34+4x^35+1x^36+1x^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 0.0835 seconds.