The generator matrix

 1  0  1  1  1  6  1 12  1  1 14  1  8  1  1  1  2  1  1  4  1 10  4  1  0  6
 0  1 11  6 13  1 12  1  3  5  1 10  1  7  8 14  1 15  9  1  1  1  1 11  1  1
 0  0 12  0  4  0  0  8  0  8  4  0  4  4  4 12  4  8  8 12  4  0 12 12  0  8
 0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  0  8  0  8  0  8  0  0  8  8  8
 0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  0  8  8  0  8  0  8  0  8
 0  0  0  0  0  8  0  8  8  0  8  8  8  0  8  0  8  8  0  0  0  0  8  8  0  8

generates a code of length 26 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+42x^21+122x^22+392x^23+1065x^24+1496x^25+2008x^26+1490x^27+1034x^28+370x^29+98x^30+36x^31+9x^32+12x^33+12x^34+2x^35+2x^36+1x^40

The gray image is a code over GF(2) with n=208, k=13 and d=84.
This code was found by Heurico 1.16 in 0.32 seconds.