The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  6  1  1 12  1  1 10  0  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  1  3  6  1 10 12  1  1  0  3  3  0
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  8  8  8  0  8  8  8  8  0  8  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  8  0  8  8  0  0  8  8  0  8  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  0  0  0  8  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  8  8  8  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  0  8  8  0  0  0  0  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+39x^20+32x^21+198x^22+192x^23+1318x^24+1184x^25+2278x^26+1184x^27+1304x^28+192x^29+200x^30+32x^31+25x^32+8x^34+1x^36+2x^38+2x^42

The gray image is a code over GF(2) with n=208, k=13 and d=80.
This code was found by Heurico 1.16 in 0.233 seconds.