The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+172x^20+460x^21+894x^22+1784x^23+3062x^24+6464x^25+7045x^26+6454x^27+3218x^28+1836x^29+773x^30+366x^31+169x^32+40x^33+23x^34+2x^35+2x^36+1x^38+2x^39

The gray image is a code over GF(2) with n=208, k=15 and d=80.
This code was found by Heurico 1.16 in 5.35 seconds.