The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+66x^36+134x^37+243x^38+484x^39+1159x^40+1900x^41+4836x^42+6566x^43+12230x^44+10554x^45+11948x^46+6560x^47+4960x^48+1862x^49+1081x^50+436x^51+251x^52+136x^53+60x^54+28x^55+20x^56+6x^57+7x^58+6x^59+1x^60+1x^62

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 32.8 seconds.