The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^14+70x^15+140x^16+486x^17+845x^18+948x^19+829x^20+468x^21+125x^22+70x^23+51x^24+6x^25+3x^26+3x^28+2x^30

The gray image is a code over GF(2) with n=152, k=12 and d=56.
This code was found by Heurico 1.16 in 0.0631 seconds.