The generator matrix

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

generates a code of length 19 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+187x^14+652x^15+2603x^16+6820x^17+11554x^18+21896x^19+11558x^20+6872x^21+2572x^22+620x^23+172x^24+4x^25+22x^26+2x^28+1x^30

The gray image is a code over GF(2) with n=152, k=16 and d=56.
This code was found by Heurico 1.16 in 7.02 seconds.