The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^17+299x^18+718x^19+1661x^20+3090x^21+7863x^22+11454x^23+15062x^24+11470x^25+8101x^26+3098x^27+1543x^28+694x^29+245x^30+90x^31+36x^32+12x^33+4x^34+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 15.2 seconds.