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

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

Homogenous weight enumerator: w(x)=1x^0+153x^40+978x^44+640x^46+212x^48+54x^52+9x^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 36.5 seconds.