The generator matrix

 1  0  1  1  1  4  1 14  1  1  2  1  1  8  1  1  1 12  1
 0  1  1  0 11  1  2  1  7  5  1  8 14  1  2  5  0  2  0
 0  0  2  6  4  6  2  0 10  4  2  0  8  8  4  2  8  6  8
 0  0  0 12  0  4  8 12  0  4  8  4 12 12  8  4  8  8  8
 0  0  0  0  8  0  0  8  8  8  0  0  8  0  8  0  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+63x^14+236x^15+470x^16+1700x^17+3570x^18+4328x^19+3564x^20+1704x^21+451x^22+204x^23+59x^24+20x^25+12x^26+2x^28

The gray image is a code over GF(2) with n=152, k=14 and d=56.
This code was found by Heurico 1.16 in 0.59 seconds.