The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  1  6  1  8  1  1  1  1  1 10  1  1  1 12  1  2  1  8  1  1 14  1  1  1 10  1  4  4  2  1  1  1  1
 0  1 11  6  5  1 11  0  1  5  1  6 13  1  8  1  3 14  4 10  1  1 13  0  2  1  3  1  9  1 12 15  1 14  7  1  1 15  1  8  4  6 10 13  8
 0  0 12  0  0  0  0  4  4 12 12  0  8  8  8  0  8 12  4  4  0 12 12  0 12  8  4  8  4  4  8 12  8  8 12 12  4  8  8  8  8  0  0  8  0
 0  0  0 12  0  4  4  4 12 12  8  0  4  8  4  4  0  8  0  4 12  4  0  0  8  8 12  4 12  8  0  4 12  4  8  8  4  0 12 12  4  8  8 12  4
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8  8  0  8  0  8  0  8  8  8  0  8  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  0  0  0  0  8  8  8  0  0  8  8  8  0  8  8  0  0  8  0  0  0  8  8  8  0  8  0  8  0  8  8
 0  0  0  0  0  0  8  0  8  0  0  8  0  8  8  0  8  0  8  0  0  8  8  8  0  8  0  8  8  8  0  8  8  8  8  0  0  0  0  0  0  0  8  8  8
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  0  0  8  8  8  0  0  8  8  0  0  8  0  8  0  0  8  0  0  8  8  8  0  8  0  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+100x^36+28x^37+454x^38+364x^39+1331x^40+2140x^41+4780x^42+7452x^43+10978x^44+10852x^45+10273x^46+7236x^47+5139x^48+2292x^49+1240x^50+308x^51+328x^52+48x^53+128x^54+41x^56+20x^58+2x^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 31.8 seconds.