The generator matrix

 1  0  0  1  1  1 10  1  8  1  4  1  1  1 10  0  1  6  1
 0  1  0  1  2  7  1  2  6  5  1  2  8 13  1  1 10  1  4
 0  0  1  1  1  2  3  3  1  4  6  2  1 13  3  2  1  4  0
 0  0  0  2  0  8 14 10 10  2 10 14 14  4  8  4  2  2 10
 0  0  0  0  8  0  8  0  0  8  0  8  8  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+104x^14+836x^15+2123x^16+7678x^17+11766x^18+20290x^19+12092x^20+7836x^21+1908x^22+696x^23+152x^24+38x^25+14x^26+2x^27

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 6.89 seconds.