The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  1  1  0  1  1  6  1  1 12  1 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  2  0  1  2  1  6  1
 0  1  3  6  5  1 12 15  1 10  1  9  5  3  0  1 15  6  1  9 12  1 10  1  5  3 15 11  9  5 13  3  9 15  3  3  5  0  1 10 12  2  1  1 14  6  1  6
 0  0  8  0  0  0  0  0  8  8  0  8  8  0  0  8  8  8  0  0  8  8  8  8  8  0  8  8  0  0  0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  0
 0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  8  0  0  0  0  8  0  8  8  0  0  8  8  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  0  0  8  0  0  8  0  0  0  0  8  8  8  0  8  0  0  8  0  8  0  8  0  8  8  0  8  8  8  0  8  8  8  8
 0  0  0  0  0  8  8  8  8  0  8  0  8  0  8  0  8  8  0  8  8  8  0  0  0  0  0  0  8  8  0  8  8  0  0  8  8  8  0  0  0  8  8  0  0  0  0  8

generates a code of length 48 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+74x^43+173x^44+400x^45+461x^46+580x^47+686x^48+730x^49+417x^50+290x^51+159x^52+84x^53+14x^54+16x^55+5x^56+2x^57+1x^58+2x^66+1x^70

The gray image is a code over GF(2) with n=384, k=12 and d=172.
This code was found by Heurico 1.16 in 0.29 seconds.