The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+432x^23+894x^24+2246x^25+2514x^26+4170x^27+2760x^28+2172x^29+644x^30+420x^31+85x^32+30x^33+10x^34+2x^35+4x^36

The gray image is a code over GF(2) with n=216, k=14 and d=92.
This code was found by Heurico 1.16 in 3.47 seconds.