The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+95x^20+516x^21+1571x^22+3508x^23+7073x^24+12752x^25+14208x^26+13112x^27+7285x^28+3436x^29+1328x^30+428x^31+166x^32+32x^33+12x^34+8x^35+4x^36+1x^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.