The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  1  2  4  1  8  2  2  1  1  4  1  2  1  4  1  2  4  4  8  4  2  1
 0 12  0  4  0  0  4 12  0  8  4  4  0 12 12  8  8  0  8 12 12  0  4  4  4  4  0  4 12 12  4  0 12  8  4  4  4 12  4  0 12  4  8  0  0
 0  0 12  4  0 12  4  0  8  4  0  4  0  4  8  4  4 12  4  0  4 12  4  0 12  4  0 12  0  8  8  4  8  8  4 12  4  8  8 12  0  4  4  8  0
 0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  0  0  0  8  0  0  0  8  0  8  8  8  8  0  8  8  8  0  8  0  8  8  0  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  0  8  8  0  0  8  8  0  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  8  8  0  0  8  8  0  0  0  0  0  8  8  8  8  8  8  8  0  8  8  0  0  0  0  0  8  8  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  0  0  0  8  0  8  0  8  0  0  8  8  0  0  8  0  0  0  0  0  8  0  0  8  8  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  0  0  8  8  8  8  8  8  8  8  8  0  8  0  8  8  0  0  0  8  8  0  8  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+48x^36+34x^37+88x^38+196x^39+114x^40+594x^41+139x^42+1600x^43+120x^44+2332x^45+149x^46+1632x^47+138x^48+564x^49+94x^50+144x^51+68x^52+50x^53+34x^54+12x^55+18x^56+10x^57+7x^58+4x^60+1x^62+1x^64

The gray image is a code over GF(2) with n=360, k=13 and d=144.
This code was found by Heurico 1.16 in 1.1 seconds.