The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  1  4  1 10  1  1  8  1  1  2 12  8  0  2
 0  1 11  6 13  1  0  3  1  5  1 14  4  1 15  1  2  9  1  7  1  8  1  2  4  0
 0  0 12  0  4  0 12  0  4  8  4  4  4 12  0  0 12  8  4  4 12  4  0  4  0  8
 0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  8  0  0  8  8  8  0  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  0  8  8  0  8  0  8  0  0  8  8
 0  0  0  0  0  8  0  8  0  8  0  0  0  0  8  8  0  0  8  8  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  0  8  0  0  8  8  8  0  0  8  0  8  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+117x^20+120x^21+323x^22+800x^23+2546x^24+2136x^25+4304x^26+2176x^27+2492x^28+808x^29+346x^30+96x^31+85x^32+8x^33+16x^34+7x^36+3x^38

The gray image is a code over GF(2) with n=208, k=14 and d=80.
This code was found by Heurico 1.16 in 0.95 seconds.