The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  6  1  1 10  1  1  8  8 14  1  4  1  1  1  2  1
 0  1 11  6 13  1 12  7  1 10  1  1  8  5  1 14  3  1  1  1  4  1  9  2  5  1  1
 0  0 12  0  4  4  8  4  8  0  4  0  4  8  0  4  0  4  4 12 12 12  8  4  0  4  4
 0  0  0  8  0  8  0  8  8  8  8  0  0  8  8  0  0  0  8  0  8  0  0  8  8  0  0
 0  0  0  0  8  8  8  8  0  8  0  8  0  8  8  8  0  8  8  8  0  0  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+62x^23+225x^24+628x^25+557x^26+1192x^27+535x^28+616x^29+199x^30+56x^31+6x^32+4x^33+11x^34+1x^36+1x^38+2x^39

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 0.0814 seconds.