The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+70x^18+168x^19+526x^20+760x^21+1514x^22+3158x^23+6779x^24+12318x^25+14943x^26+12214x^27+6831x^28+3294x^29+1603x^30+690x^31+384x^32+138x^33+103x^34+26x^35+7x^36+2x^37+7x^38

The gray image is a code over GF(2) with n=208, k=16 and d=72.
This code was found by Heurico 1.16 in 18.8 seconds.