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  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  4  1  2  1  2  1  2
 0 12  0  4  0  0  4  4  8  8  4 12 12 12  0  8  0  4  8  4 12  0  0  4  4  4  0  8  8  0  4 12  0  0  8  0  4  8  8  4  4  4  0  0  8
 0  0 12  4  0 12 12  0  8  4  4  0  8  4  8 12  0 12 12  8  0  4  0  4  8  8  0  0  4  4  4  4  0  8  0  0  4  8  4  8 12  0 12  8  8
 0  0  0  8  0  0  8  0  0  0  0  8  8  0  8  8  8  8  8  8  0  8  8  0  0  8  0  8  8  0  8  0  0  0  0  8  0  0  8  0  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  0  0  0  0  8  8  8  8  0  0  8  0  8  0
 0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  8  0  8  8  8  0  0  0  8  8  0  0  0  0  8  8  8  0  8  8  0  8  0  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+127x^40+86x^42+586x^44+512x^45+506x^46+140x^48+42x^50+38x^52+6x^54+3x^56+1x^80

The gray image is a code over GF(2) with n=360, k=11 and d=160.
This code was found by Heurico 1.16 in 0.626 seconds.