The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  4  2  1  2  4  4  4  1  2  1
 0 12  0  0  0  0  0  0  0 12  4 12  4 12  8  4  8  4  8 12 12  0 12 12  8  0
 0  0 12  0  0  0  4 12  4  4  4  8  4  8  8 12 12  4  0  4  8  0  4  4  4  0
 0  0  0 12  0  4  4  4  8  4  0 12  4 12  4  0  4  4  0  8 12  0 12  4  0  0
 0  0  0  0 12  4  0  4  4  8  0  8 12 12  4  8  8  4  4 12  4 12  8  0  8  0
 0  0  0  0  0  8  0  0  8  0  8  8  0  8  0  0  8  0  8  0  8  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  8  8  8  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+56x^18+86x^19+177x^20+278x^21+442x^22+1086x^23+1713x^24+2646x^25+3389x^26+2634x^27+1769x^28+1106x^29+425x^30+282x^31+161x^32+66x^33+39x^34+8x^35+18x^36+1x^38+1x^48

The gray image is a code over GF(2) with n=208, k=14 and d=72.
This code was found by Heurico 1.16 in 1.78 seconds.