The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^41+1181x^42+3056x^43+6378x^44+9384x^45+15481x^46+17876x^47+23155x^48+18858x^49+16556x^50+9266x^51+5608x^52+2542x^53+1093x^54+314x^55+152x^56+26x^57+22x^58+14x^59+2x^60+2x^61+2x^62+2x^63+1x^66

The gray image is a code over GF(2) with n=384, k=17 and d=164.
This code was found by Heurico 1.16 in 99.7 seconds.