The generator matrix

 1  1  1  1  1  1  1  2  0  1  1  1  1  1  2  1  1  2  1
 0  2 12  6  0  6 12  6  2 10  0 12 10  0 10  6  6  0  8
 0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  0  8
 0  0  0  8  0  0  8  8  8  0  8  0  0  8  8  8  0  8  0
 0  0  0  0  8  0  8  8  0  8  0  8  8  0  8  0  0  0  0
 0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  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+11x^14+42x^15+41x^16+166x^17+526x^18+492x^19+524x^20+148x^21+36x^22+42x^23+6x^24+6x^25+2x^26+4x^28+1x^30

The gray image is a code over GF(2) with n=152, k=11 and d=56.
This code was found by Heurico 1.16 in 0.018 seconds.