The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  0 12  1  2  4  1  2  1  2  4  1  1  1
 0  2  0  0  0  2  6  2 12 12  6  2  2 12  2  0  4 14 10  0 12 12  2  0
 0  0  2  0  2  2  2  4  6  0 12 14 10  4 12  2  2  0  2 10  2  0  4  4
 0  0  0  2  2  0  2  6 14  2  2 10  4  6 14 14 12  0  2 14  0  8 10 12
 0  0  0  0  4  0  0  0  8  4 12 12  0  4  8 12 12 12  4  8  0  4 12  8
 0  0  0  0  0  8  8  0  8  8  8  0  0  0  8  8  8  8  8  0  8  0  8  0

generates a code of length 24 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+62x^17+310x^18+796x^19+1695x^20+3406x^21+6703x^22+12026x^23+15309x^24+12264x^25+6837x^26+3424x^27+1588x^28+710x^29+289x^30+74x^31+29x^32+6x^33+5x^34+1x^36+1x^40

The gray image is a code over GF(2) with n=192, k=16 and d=68.
This code was found by Heurico 1.16 in 16.2 seconds.