The generator matrix

 1  0  0  0  1  1  1  4  1  1  1 12 14  1 10  2  1  1  1
 0  1  0  0  2  9  5  1 14  2 13  1  8  3  1  1 15  5  0
 0  0  1  0  3  1  6  7  1 12 11  0  1  1  2  8  6  2  4
 0  0  0  1  1  4  3  3  5  3 11  1  3 10 13  8  6  5  4
 0  0  0  0  4  8  0  8  0 12  4  4  8 12  0  4  8 12  8

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

Homogenous weight enumerator: w(x)=1x^0+72x^13+637x^14+2508x^15+10080x^16+26188x^17+57080x^18+68730x^19+57326x^20+26616x^21+9829x^22+2248x^23+689x^24+100x^25+38x^26+2x^27

The gray image is a code over GF(2) with n=152, k=18 and d=52.
This code was found by Heurico 1.16 in 107 seconds.