The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+171x^18+554x^20+1037x^22+256x^23+2333x^24+1792x^25+20393x^26+1792x^27+2490x^28+256x^29+1037x^30+470x^32+144x^34+39x^36+2x^38+1x^44

The gray image is a code over GF(2) with n=208, k=15 and d=72.
This code was found by Heurico 1.16 in 6.84 seconds.