The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  2  2  1  1  4  1  1  1  1  2  4  0  1  2  0  1  1  8  2  1  2  0  2  1  1
 0  2  0  0  0  2  6  2  4  0  8 10  2 10  0 14  2  4  8 10  6  4  2 14  2  4  4  6 10 14  2  2  8  4  2  6  0  2  2  8 12  4  8  6  0
 0  0  2  0  2  2  2  4  6  2  0 10  8  2  4  0  2 14  6 12  8  6 10  8 14  8  6  0 10 10  4 14 12  6  8  4 12 12 10 14 10  2  0 14  0
 0  0  0  2  2  0  2  6  2  4  4 12 12  2 10 10  0  6  0 14 12 14  4 12  8  8  6 14  8  2  4 14 12 12 10  8  2 14  6  8 10  0 10  6  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  8  8  8  8  8  4 12  4 12  4  4  4 12 12 12  4 12 12  8 12  8  0 12  4 12 12 12 12  4  4 12  0
 0  0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  8  0  8  0  8  8  8  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+186x^37+620x^38+950x^39+2015x^40+2492x^41+5228x^42+6158x^43+10528x^44+8894x^45+10427x^46+6548x^47+5417x^48+2478x^49+1837x^50+696x^51+520x^52+216x^53+153x^54+46x^55+35x^56+6x^57+7x^58+2x^59

The gray image is a code over GF(2) with n=360, k=16 and d=144.
This code was found by Heurico 1.16 in 42.5 seconds.