The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+240x^40+32x^41+444x^42+320x^43+627x^44+832x^45+611x^46+320x^47+414x^48+32x^49+151x^50+48x^52+9x^54+13x^56+1x^58+1x^68

The gray image is a code over GF(2) with n=360, k=12 and d=160.
This code was found by Heurico 1.16 in 8.36 seconds.