The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  1  2  2  2  2  1  1  4  0  4  8  2  2  1  1  4  2  2  2  2  4  4  4  4  4  1  1
 0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4 12  4  0 12  8  4 12  4  0  8  0  8 12  4  4  4  0  8 12  4  8 12  4  0  8  0 12  4  8  0  0  8

generates a code of length 48 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+49x^48+8x^50+2x^52+4x^54

The gray image is a code over GF(2) with n=384, k=6 and d=192.
This code was found by Heurico 1.16 in 0.0647 seconds.