The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^41+139x^42+228x^43+387x^44+534x^45+842x^46+1284x^47+1385x^48+1276x^49+838x^50+484x^51+372x^52+184x^53+93x^54+44x^55+20x^56+20x^57+7x^58+8x^59+9x^60+2x^61+2x^64+1x^70

The gray image is a code over GF(2) with n=384, k=13 and d=164.
This code was found by Heurico 1.16 in 1.04 seconds.