The generator matrix

 1  1  1  1  1  1  1  1  2  0  2  2  1  1  8  1  4  1  1
 0  2  0  2  0  8  2 10 12 12 10 14  8 10  2  6  2  6  8
 0  0  2  2 12 14  6 12  2  2  2  0  6  4 10  2 14 14  0
 0  0  0  4  0  0 12  8 12 12  4  4 12 12  0  8  4  8  4
 0  0  0  0  8  8  8  8  8  0  8  0  8  0  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+26x^14+182x^15+399x^16+902x^17+1502x^18+2192x^19+1500x^20+908x^21+366x^22+150x^23+36x^24+14x^25+10x^26+4x^27

The gray image is a code over GF(2) with n=152, k=13 and d=56.
This code was found by Heurico 1.16 in 0.242 seconds.