The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1 10  1  1 12  1  1  1  0  6  1  1  1 12 10  1 10  1  1  1  1  1  1  6  2  1  1  1 12
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12  9  1 10 15  1  0  9  3  1  1  6 15 12  1  1  3  1 15 10  5  0  6 12  1 10 15 10  6  1
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  8  0  8  0  0  0  8  8  8  8  0  8  8  0  8  8  8  8  0  8  0  8  0  0  0  8  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  0  8  8  0  8  0  8  8  0  0  0  8  0  8  8
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  8  0  8  8  8  0  8  0  0  0  0  8  0  0  8  0  0  8  8  0  8  0  8  8  8  8  0  8
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  0  8  8  8  0  0  8  0  0  8  8  0  8  0  8  8  0  0  0  8  0  8  8  0  0  0  8  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  0  0  8  0  0  0  0  8  8  0  0  0  0  8  0  0  0  8  8  8  0  8  8  0  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+74x^42+88x^43+519x^44+376x^45+1346x^46+688x^47+2034x^48+688x^49+1344x^50+376x^51+500x^52+88x^53+43x^54+10x^56+4x^58+5x^60+2x^62+3x^64+2x^66+1x^70

The gray image is a code over GF(2) with n=384, k=13 and d=168.
This code was found by Heurico 1.16 in 0.82 seconds.