The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+129x^40+680x^41+2622x^42+5548x^43+10874x^44+19442x^45+30074x^46+39876x^47+43628x^48+39170x^49+31032x^50+19766x^51+10852x^52+5288x^53+2039x^54+694x^55+300x^56+74x^57+24x^58+14x^59+8x^60+2x^61+1x^62+6x^63

The gray image is a code over GF(2) with n=384, k=18 and d=160.
This code was found by Heurico 1.16 in 415 seconds.