The generator matrix

 1  0  0  1  1  1 10  1  1  1  1  6 14  2 14  4 12  1  1  1  1  0  1  1  1  1
 0  1  0  4  1  7  1  6  9  2 15  1  4  1  1  1  0 13  2 11  6  6  3  8 12 13
 0  0  1  7  1  2  5  0  6  7  5  3  1  2  4  7  1  4  2  4  5  1  0  1  6  1
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  8  8  0  8  8  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  0  0  8  0  8  0  8  8  8  8
 0  0  0  0  0  8  0  0  8  8  8  0  0  8  8  8  0  0  0  8  8  8  0  0  8  8
 0  0  0  0  0  0  8  8  8  0  0  8  0  8  0  8  8  0  0  8  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+98x^20+360x^21+1040x^22+3888x^23+7284x^24+12120x^25+15996x^26+12160x^27+7176x^28+3896x^29+1064x^30+336x^31+83x^32+8x^33+12x^34+14x^36

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 10.7 seconds.