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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+66x^42+72x^44+64x^45+228x^46+448x^47+307x^48+448x^49+218x^50+64x^51+61x^52+58x^54+4x^56+4x^58+2x^60+2x^62+1x^84

The gray image is a code over GF(2) with n=384, k=11 and d=168.
This code was found by Heurico 1.16 in 0.688 seconds.