The generator matrix

 1  0  1  1  1  4  1  1  6  1  1 10  8  1  1  2  1  1  1  2 12  1  1  1  2  1 12  1  8  1  1  1  1  2  6  1  1  1  1  1  1  1  1  1  1  2  1  1
 0  1  1  0 11  1 14 15  1  9 10  1  1  8  5  1 15 10  9  1  1 10  7  0  1  2  1  9  1  3  1  0 10  1  1 12  5 10 15  2 14 10 13 12  9  1 15 10
 0  0  2  6  0  2  8  2  4  0 14  2 12  0  2 10  0  2 12 12  2  6  2  4  8  4  4  2 10 12  4  2  8  6 14 12  0  0 14 10  4  6 14  2  0  2 14  6
 0  0  0 12  0  0  0  0  0  0 12  8  0  4 12 12  4  8 12 12  4  8 12  8  4 12  8  0  4  4  8  0  8  0  4 12  4 12 12 12  8  8  4  8 12  0 12  0
 0  0  0  0 12  8  4  4 12  8  4 12  8  8  0  4 12  4  0  4  0  0  4  4  8 12 12 12 12  0  0  8  0  8  8  4 12  0  8  4  8 12 12  0  0  8 12  8

generates a code of length 48 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+104x^41+301x^42+664x^43+1181x^44+2580x^45+3424x^46+5448x^47+5558x^48+5368x^49+3468x^50+2420x^51+1143x^52+664x^53+214x^54+100x^55+48x^56+48x^57+15x^58+4x^59+3x^60+4x^61+2x^62+4x^63+1x^64+1x^68

The gray image is a code over GF(2) with n=384, k=15 and d=164.
This code was found by Heurico 1.16 in 9.04 seconds.