The generator matrix

 1  0  0  1  1  1 14  1  1  1  1 14 14  2  1  2  1  2  1
 0  1  0  1  6  7  1  8  4  5 11  1  6  4  8  1  6  8  0
 0  0  1  1  3  2  3  0  7  4  7  7  1  1 13 14  2  4  0
 0  0  0 12  0  8 12  4  8 12  0  0 12  0  8 12 12 12  0
 0  0  0  0  8  8  8  0  0  8  0  0  0  8  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+70x^14+464x^15+1294x^16+3192x^17+6863x^18+9026x^19+6802x^20+3304x^21+1244x^22+380x^23+95x^24+16x^25+15x^26+2x^27

The gray image is a code over GF(2) with n=152, k=15 and d=56.
This code was found by Heurico 1.16 in 1.8 seconds.