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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+17x^44+40x^45+28x^46+24x^47+804x^48+24x^49+28x^50+40x^51+17x^52+1x^96

The gray image is a code over GF(2) with n=384, k=10 and d=176.
This code was found by Heurico 1.16 in 0.0678 seconds.