The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+141x^40+148x^41+669x^42+904x^43+1631x^44+2100x^45+3664x^46+4520x^47+5242x^48+4492x^49+3758x^50+2232x^51+1512x^52+796x^53+552x^54+152x^55+151x^56+16x^57+53x^58+25x^60+8x^62+1x^64

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 13.3 seconds.