The generator matrix

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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+74x^39+185x^40+290x^41+574x^42+944x^43+1628x^44+2542x^45+3479x^46+4358x^47+4596x^48+4384x^49+3635x^50+2566x^51+1574x^52+808x^53+495x^54+292x^55+157x^56+94x^57+39x^58+18x^59+18x^60+10x^61+2x^62+4x^63+1x^64

The gray image is a code over GF(2) with n=384, k=15 and d=156.
This code was found by Heurico 1.16 in 14.9 seconds.