The generator matrix

 1  0  0  1  1  1 10  2  1  1 12  6  1  1 10  1  1  1  4 10  1 12 14  1  1  1  1
 0  1  0  4  5  1  1  2  5  9  1  1 10 14 12  0  3  2  1  1  8 10  1  3  1  3  6
 0  0  1  7  3  4  3  1  5 10  6  5  6  1  1  6 13  7  5 14  5  1  9 11  3 15  0
 0  0  0  8  8  0  8  8  0  8  8  0  8  0  0  0  8  0  0  0  8  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+92x^23+524x^24+1180x^25+1561x^26+1664x^27+1485x^28+976x^29+482x^30+174x^31+37x^32+4x^33+5x^34+4x^35+1x^36+2x^39

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 0.235 seconds.