The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  1 10  1  1  1  0  1  1
 0  1  3  6  5  1 12 15  1 10  9  6  1  0  3 12  1  3  3
 0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  0  0  8  0
 0  0  0  8  0  0  0  8  0  8  8  0  8  8  8  0  8  0  8
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  0  0  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  0  0  8  8  8  8  0  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  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+46x^14+48x^15+201x^16+832x^17+2192x^18+1568x^19+2188x^20+832x^21+184x^22+48x^23+38x^24+8x^26+4x^28+2x^30

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 0.763 seconds.