The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  6  6  0  1  1  1  8  1  1  1  1  1  1  1  1
 0  1 11  6  1  1  0  3  1  6  5  1  1  1 11 14  5  1  5 11  6 13  8  5  3  0
 0  0 12  0  0  0  0  4  8 12  4  4  0  4  4 12  8 12  4  8 12  0  8  8 12  0
 0  0  0 12  0  0  0  0  4  0  4  8  4 12  4  8  0  4  8  4  4 12  8 12 12  0
 0  0  0  0  4  4 12  4  8  4  8 12  4  8  4  0  0  4  4  0  8  0 12  4  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  8  8  8  0
 0  0  0  0  0  0  8  8  8  0  0  0  8  8  0  8  0  0  8  0  8  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+52x^18+98x^19+217x^20+424x^21+1260x^22+2568x^23+8218x^24+11232x^25+17366x^26+11252x^27+8240x^28+2600x^29+1254x^30+408x^31+197x^32+80x^33+30x^34+10x^35+23x^36+6x^38

The gray image is a code over GF(2) with n=208, k=16 and d=72.
This code was found by Heurico 1.16 in 12.7 seconds.