The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+55x^20+112x^21+299x^22+836x^23+1850x^24+3164x^25+3791x^26+3150x^27+1853x^28+816x^29+278x^30+88x^31+47x^32+20x^33+15x^34+6x^35+2x^36+1x^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 1.01 seconds.