The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+148x^14+954x^15+2880x^16+6634x^17+14154x^18+15912x^19+14312x^20+6680x^21+2736x^22+910x^23+189x^24+14x^25+10x^26+2x^28

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 7.78 seconds.