The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^20+142x^21+312x^22+870x^23+1614x^24+3632x^25+3216x^26+3584x^27+1598x^28+814x^29+296x^30+150x^31+57x^32+20x^33+16x^34+4x^35

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 0.992 seconds.