The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  1  2  4  1  4  2  4  1  1  1  1  2  1  2  1
 0 12  0  0  0  4 12  4  0  8  0  4 12  0  8 12  8 12  0  8  8  8  4  4  4  0
 0  0 12  0  4  4 12  0  0  0  4  8  4  4 12  8  4  4  0  8  0  8  4 12 12  0
 0  0  0 12  4  0 12  4  0  4  4  4  4 12  4  0  8  4  4 12  0  4  8 12  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  0  0  8  0  8  0  0  0  0  8  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  8  0  0  0  8  8  0  8  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  8  0  8  8  8  0  8  0  8  8  0  8  0  0

generates a code of length 26 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+12x^17+53x^18+88x^19+159x^20+254x^21+329x^22+594x^23+2430x^24+1074x^25+6380x^26+1122x^27+2384x^28+630x^29+348x^30+230x^31+129x^32+74x^33+55x^34+14x^35+17x^36+4x^37+3x^38

The gray image is a code over GF(2) with n=208, k=14 and d=68.
This code was found by Heurico 1.16 in 1.6 seconds.