The generator matrix

 1  0  1  1  1 12  1  1  2  6  1  1  0  1  2  1  1  1  2 12  0  1  1  2  1  1
 0  1  1 12 11  1  2  7  1  1  5  6  0  8  0 10  6  4  2  2  2  7  1  4  3  0
 0  0  2  6  4  6  2 14  2  0  0  0  2  4  6  0  6  2  2  6  0  2 10  2  8  0
 0  0  0  8  0  0  0  0  0  8  8  0  0  8  8  8  0  0  0  0  0  8  8  8  8  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  0  8  0  0  8  0  8  0  0  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  0  0  8
 0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  8  8  8  0  0  8  0  8  8  0  8
 0  0  0  0  0  0  0  8  8  0  0  0  8  8  8  8  0  8  0  8  8  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+20x^18+68x^19+169x^20+652x^21+1408x^22+4720x^23+6228x^24+13484x^25+11998x^26+13528x^27+6234x^28+4740x^29+1400x^30+624x^31+163x^32+68x^33+21x^34+4x^35+5x^36+1x^50

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 10.9 seconds.