The generator matrix

 1  0  1  1  1  4  1  1  1  1  6  2  2  1  1  1  0  2  1
 0  1  1  0 11  1  6 13 10 15  1 12  4 12 14  7  1  0  8
 0  0  2  6  0  2  0  8  2 14  4  2  2  6  0  6  2  6  4
 0  0  0 12  0  4  4  4  8  4  4 12  4 12  8  8  8  8  0
 0  0  0  0 12  4  4  8 12 12  8  8 12  4 12  4  4  0  8
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  0  8  8

generates a code of length 19 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+74x^13+301x^14+984x^15+2723x^16+6174x^17+14504x^18+16148x^19+14164x^20+6406x^21+2811x^22+848x^23+296x^24+82x^25+15x^26+4x^27+1x^34

The gray image is a code over GF(2) with n=152, k=16 and d=52.
This code was found by Heurico 1.16 in 7.59 seconds.