The generator matrix

 1  0  1  1  1  2  1  1  6  1  4  1  1  8  1 12  1 12  1
 0  1  1  0  3  1 12 11  1  0  1  6  9  1  5  0  4  1  0
 0  0  2  0  6  0  2  4  6  2  2  0  4 10  6  2  6  2  0
 0  0  0  2  6  2  4  0  6  2  0  8  2  6 14 14  4  2  0
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  0  0  8
 0  0  0  0  0  8  8  8  8  0  8  0  0  0  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+42x^13+300x^14+764x^15+2262x^16+6892x^17+12477x^18+19926x^19+12647x^20+6946x^21+2267x^22+680x^23+225x^24+72x^25+27x^26+6x^27+1x^28+1x^30

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 7.25 seconds.