The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+56x^41+247x^42+330x^43+463x^44+758x^45+589x^46+710x^47+396x^48+208x^49+117x^50+70x^51+93x^52+30x^53+7x^54+10x^55+6x^56+4x^57+1x^72

The gray image is a code over GF(2) with n=368, k=12 and d=164.
This code was found by Heurico 1.16 in 0.345 seconds.