The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2 12  1  2  1  1  1  2  1  4  1  1 12  1  1  0 12  1  1  2  1  2  1  2
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  2 12  4  2  4  4 10 10  0 14  4  6 12  8  6  2  2  0  6 12  6  6  2 12  2 14  2 14  6  6  0
 0  0  2  0 10 10 10  8  0 10  8  2 14  0 12 10 12 12  4 14  4  6  2 14  2 10  6 12  0  6 14 12 12  4 14 12  4  2  2  0  4  6  4 12 14
 0  0  0  2  2  8 10  2  4  4  6  6 14  6 12  4  4  2 10 14  0  8 14  2  0 12 12  2  8 10  2  6  0  2 12 10  2  8 14  0  4  0  8  6 12

generates a code of length 45 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+470x^40+80x^41+938x^42+448x^43+1788x^44+992x^45+1642x^46+448x^47+799x^48+80x^49+334x^50+139x^52+30x^54+2x^56+1x^68

The gray image is a code over GF(2) with n=360, k=13 and d=160.
This code was found by Heurico 1.16 in 50.6 seconds.