The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  1  6  1  1  2  1  6  1 12  1  0  1  1  1  2  1  1  8  1  1  1  8  1  4  1  2  1 12  1  1  1 10  0  1
 0  1 11  6  5  1 11  0  1  5  1  6 13  1  8  3  1 14  1 12  1  9  1 15  7  2  1  8  3  1 12  0  1  2  1  1  5  0 14  1 13  2  1  1  1  0
 0  0 12  0  0  0  0  4  4 12 12  0  8  4  4  0  4 12  8  8 12  0  0 12  8 12  8  0  4  0  0  8  4  8 12  0  0  4  8  0  0 12  8 12  0  0
 0  0  0 12  0  4  4  4 12 12  8  0  4 12  8  8  0  0  0  8 12  8  0 12 12  0 12 12 12 12  0  0  8  4  8 12  8 12  4  8  4  8 12 12  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  8  8  0  8  8  8  0  0  8  8  8  8  8  8  8  8  0  8  8  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  0  0  8  8  8  0  0  8  8  8  0  0  8  8  8  8  0  0  0  8  8  0  8  8  0  0  0  8  0  8  0  0
 0  0  0  0  0  0  8  0  8  0  0  8  0  0  0  8  0  8  0  8  0  8  8  0  8  0  8  8  8  0  0  8  8  0  0  8  0  0  8  0  8  8  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  0  0  0  8  8  0  0  8  0  0  8  0  8  8  0  0  0  0  8  8  0  8  8  0  0  8  0  0

generates a code of length 46 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+57x^36+76x^37+158x^38+322x^39+512x^40+1222x^41+2377x^42+5106x^43+7132x^44+10632x^45+10268x^46+10732x^47+7152x^48+5180x^49+2390x^50+1164x^51+433x^52+284x^53+138x^54+82x^55+61x^56+14x^57+25x^58+2x^59+10x^60+4x^62+1x^64+1x^72

The gray image is a code over GF(2) with n=368, k=16 and d=144.
This code was found by Heurico 1.16 in 31.8 seconds.