The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  1  2 12  1  1  2  0  1  2  1 12  1  1  1  1  1  2  2  1  0  1  1  1  1  0  0  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  0  6  2  6 10 12 10  2  0  0  6  2 12 10  0  2  6  8 10 12  6  6 10 10  2 10  0  6 12  2  2 10  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  8  0  8  0  8  8  0  0  0  0  8  8  0  8  0  8  8  0  0
 0  0  0  8  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  0  8  0  8  0  0  0  0  8  8  8  0  0  8  8  8  8  0  8  0  8  8  8
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  8  0  8  8  0  0  0  0  0  8  8  8  8  0  0  8  8  0  8  8  0  8  0  8  0  0  0  8
 0  0  0  0  0  8  0  0  0  8  0  8  0  0  8  0  8  0  0  8  8  8  0  8  8  8  0  0  8  8  0  0  8  8  8  0  0  0  0  8  0  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8  8  0  8  8  0  8  8  0  0  0  0  8  8  0  8  8  0  8  8  0  0  8  8
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  0  8  8  0  0  0  0  8  8  8  0  0  8  8  8  0  8  0  0  0  8  0  8  0  0  0  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  0  0  8  8  8  8  8  0  8  0  0  0  8  8  8  0  0  8  0  0  8  8  0  0  8  0  0  0

generates a code of length 45 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+76x^36+16x^37+118x^38+96x^39+513x^40+320x^41+1564x^42+1184x^43+3402x^44+1888x^45+3304x^46+1184x^47+1653x^48+320x^49+388x^50+96x^51+188x^52+16x^53+2x^54+39x^56+14x^60+2x^64

The gray image is a code over GF(2) with n=360, k=14 and d=144.
This code was found by Heurico 1.16 in 3.55 seconds.