The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+104x^19+379x^20+856x^21+2008x^22+3350x^23+7421x^24+10968x^25+15027x^26+11250x^27+7765x^28+3272x^29+1870x^30+746x^31+306x^32+168x^33+37x^34+6x^35+1x^38+1x^46

The gray image is a code over GF(2) with n=208, k=16 and d=76.
This code was found by Heurico 1.16 in 18.9 seconds.