The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  0 12  1  8  1  2  1  1  2  1  1
 0  2  0  2  0  0  2 10  6  4  6  0  2  4  6  4  2  2  2 14  6 12  8  2  4  0
 0  0  2  2  0 14  2  4  2  2  0  6  2 12 12  2  0  2  6 12  8 14  0 10  6 12
 0  0  0  4  0  0  0  0  0  0  4  8  0 12  4  8 12  8  4 12  4  4  4  8  8  8
 0  0  0  0 12  4  0  4  4  8  4  0  8  4 12 12 12  4  0  8  8  4 12  8 12  8
 0  0  0  0  0  8  8  0  8  8  0  0  0  8  0  8  8  0  8  0  8  0  0  8  0  0

generates a code of length 26 over Z16 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+42x^19+165x^20+448x^21+827x^22+1742x^23+4052x^24+4710x^25+8425x^26+5352x^27+3944x^28+1628x^29+829x^30+342x^31+151x^32+62x^33+31x^34+10x^35+7x^36

The gray image is a code over GF(2) with n=208, k=15 and d=76.
This code was found by Heurico 1.16 in 5.27 seconds.