The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  2 12  1  2  0  1  2  1  1 12  1  1  2  1  0 12  1  0  1  1  2  1  1  2  2  4  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  0  6  6  2 12 10 10  2  6  6  2  0 10 12 10  2  0  6  6  0  2  2 10  2 12  6 10 10  6  6  6  0  6 10
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  0  8  0  0  8  0  0  8  8  8  8  8  0  8  8  8  8  0  8  0  8  8
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  0  0  0  8  8  0  0  8  0  0  0  8  0  8  8  8  0  8  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0  0  8  0  8  8  0  8  8  0  8  8  8  8  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  8  0  8  0  0  8  8  8  8  0  8  8  0  8  0  8  8  0  8  8  0  0  8  8  0  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  0  8  8  8  0  0  0  8  0  0  8  8  8  8  0  0  0  0  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  8  0  8  8  8  8  0  0  0  8  8  8  0  8  0  0  8  8  8  0  8  0  0  0  0  0  8  0  8  8  8
 0  0  0  0  0  0  0  0  8  0  8  0  8  0  8  0  8  8  8  8  0  0  8  8  0  0  0  0  8  8  8  0  8  0  8  0  0  8  8  8  0  0  0  8  0  8
 0  0  0  0  0  0  0  0  0  8  0  8  0  0  8  8  0  0  8  8  8  0  8  8  0  0  0  8  8  8  0  0  0  0  8  8  0  8  0  0  8  8  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+141x^36+4x^37+146x^38+100x^39+646x^40+528x^41+1322x^42+2640x^43+3057x^44+5944x^45+3700x^46+5944x^47+3098x^48+2640x^49+1364x^50+528x^51+575x^52+100x^53+122x^54+4x^55+122x^56+2x^58+35x^60+5x^64

The gray image is a code over GF(2) with n=368, k=15 and d=144.
This code was found by Heurico 1.16 in 13.6 seconds.