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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+66x^40+312x^41+606x^42+994x^43+1468x^44+2274x^45+3419x^46+4852x^47+4821x^48+4950x^49+3383x^50+2316x^51+1482x^52+838x^53+439x^54+276x^55+156x^56+66x^57+22x^58+10x^59+6x^60+8x^61+1x^62+1x^66+1x^70

The gray image is a code over GF(2) with n=384, k=15 and d=160.
This code was found by Heurico 1.16 in 12.2 seconds.