The generator matrix

 1  0  1  1  1 10  1 12  1  1  1 12 12 10  2  1  1  4  1
 0  1  1  0  3  1 12  1 11  9 14  1  2  1  1  0  8  8  8
 0  0  2  0  6 10  2  4  0  4 10 14  6  8  6  8 10  2 12
 0  0  0  2  6 12  4 10  4  2 14 14 14  8 10  6 14  0 12
 0  0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+116x^14+450x^15+1452x^16+3182x^17+6712x^18+8852x^19+6861x^20+3228x^21+1364x^22+394x^23+115x^24+22x^25+16x^26+3x^28

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 2.24 seconds.