The generator matrix

 1  0  1  1  1 14  1 12 10  1  1  1  1  1  0  1  0  1  1  1  2  2  1  1  4 10  1
 0  1  1  6 15  1  3  1  1  4 14  5  1 14  1  7  1 12  2  1  6  1  9 14  2  1  3
 0  0  2  0  2  8  0  6  2 10 14 12  6  4  4  4 10  2 10  6 10 14  8  2 10  6  4
 0  0  0 12  4 12  8  0  4  0 12  4  8 12  0  8  4 12  0  4  0 12  0  8 12  8  4

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

Homogenous weight enumerator: w(x)=1x^0+196x^23+620x^24+900x^25+1522x^26+1680x^27+1692x^28+864x^29+452x^30+172x^31+53x^32+28x^33+10x^34+2x^40

The gray image is a code over GF(2) with n=216, k=13 and d=92.
This code was found by Heurico 1.16 in 7.5 seconds.