The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  2  2  4  4  2  1  8  2  1  1  1  1  1  1  2
 0 12  0  0  0  0  0  0  0  0  4  8 12 12  4 12  0  8  4  4  0 12  8 12 12  8  4  0 12 12  8 12  4  4 12 12  8  8 12  4 12 12  4  8  4  8  4  8
 0  0 12  0  0  0  4 12 12  8  4  0 12  8  4  4  4  4 12  4  4  8  8  4  8 12  8  0  0 12 12  4  0 12  0  4 12  8  4  0 12  8  8  8  0  4  0  0
 0  0  0 12  0  4  4  4  0  8  0  0  0  0  4 12  8  8 12 12  8 12 12  0  0  4  8 12 12 12 12  0  4 12  8 12  8 12  8  8  8 12  0  0  4  0  8  4
 0  0  0  0 12  4  8  4  4  0  8  4 12  4 12  0  4  8  0 12  8 12  4  0  4  0  8  8  0  0  0 12  8  4  8  0 12  8  4 12  4  0  4  8  0  0  0  0
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  0  0  8  8  8  8  0  8  0  0  8  8  0  8  0  0  8  0  0  8  8  8  0  0  0  0  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+80x^40+4x^41+262x^42+60x^43+321x^44+376x^45+641x^46+1600x^47+1581x^48+1620x^49+621x^50+380x^51+246x^52+48x^53+173x^54+8x^55+94x^56+61x^58+12x^60+2x^62+1x^76

The gray image is a code over GF(2) with n=384, k=13 and d=160.
This code was found by Heurico 1.16 in 1.22 seconds.