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

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

Homogenous weight enumerator: w(x)=1x^0+120x^44+148x^45+264x^46+308x^47+433x^48+312x^49+215x^50+104x^51+72x^52+20x^53+32x^54+4x^55+14x^56+1x^82

The gray image is a code over GF(2) with n=384, k=11 and d=176.
This code was found by Heurico 1.16 in 0.141 seconds.