The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+104x^14+40x^15+440x^16+704x^17+1766x^18+2096x^19+1773x^20+704x^21+412x^22+40x^23+87x^24+22x^26+3x^28

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 0.362 seconds.