The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+107x^40+48x^41+392x^42+228x^43+979x^44+776x^45+2044x^46+2016x^47+3277x^48+2004x^49+2062x^50+804x^51+865x^52+240x^53+322x^54+24x^55+119x^56+4x^57+42x^58+27x^60+2x^62+1x^68

The gray image is a code over GF(2) with n=384, k=14 and d=160.
This code was found by Heurico 1.16 in 3.98 seconds.