The generator matrix

 1  1  1  1  1  1  1  1  1  1  8  2  1  2  1  8  1  1  8  0 12  1  2  2  1  2
 0  2  0  6  0  6  8  6 14  0  2  6 14  6 12  2  6 12  2  2  2  2 14 10 12  6
 0  0 12  0  0  0 12  0  0  8  4  4 12  0 12 12  4  8  0  4  4 12 12  8  8  8
 0  0  0 12  0  0  0  4  8 12  0  4 12  8  4 12  8  4  4  0 12  8  8 12  0 12
 0  0  0  0 12  0  4  4 12  4  0  8 12  0  0  4  4 12  8  4  8  8  0 12  8 12
 0  0  0  0  0  8  0  0  8  8  8  0  0  8  8  8  0  0  8  0  8  0  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+174x^20+100x^21+520x^22+916x^23+1906x^24+3080x^25+2990x^26+3080x^27+1938x^28+916x^29+494x^30+100x^31+133x^32+26x^34+8x^36+2x^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 1.74 seconds.