The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^20+368x^21+1288x^22+3500x^23+6561x^24+13596x^25+14725x^26+13480x^27+6705x^28+3480x^29+1185x^30+364x^31+114x^32+28x^33+15x^34+3x^36+3x^38

The gray image is a code over GF(2) with n=208, k=16 and d=80.
This code was found by Heurico 1.16 in 11.1 seconds.