The generator matrix

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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+36x^42+128x^43+158x^44+336x^45+389x^46+694x^47+648x^48+694x^49+372x^50+326x^51+137x^52+118x^53+30x^54+2x^55+15x^56+2x^57+4x^58+2x^59+1x^60+2x^61+1x^78

The gray image is a code over GF(2) with n=384, k=12 and d=168.
This code was found by Heurico 1.16 in 0.334 seconds.