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

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

Homogenous weight enumerator: w(x)=1x^0+57x^44+64x^46+781x^48+64x^50+54x^52+2x^56+1x^92

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 0.123 seconds.