The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+26x^17+47x^18+144x^19+219x^20+496x^21+1159x^22+2606x^23+8200x^24+11032x^25+17586x^26+11068x^27+8266x^28+2684x^29+1135x^30+480x^31+191x^32+94x^33+39x^34+36x^35+19x^36+4x^37+1x^38+2x^39+1x^46

The gray image is a code over GF(2) with n=208, k=16 and d=68.
This code was found by Heurico 1.16 in 10.9 seconds.