The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1  6 10  1  1  0  1  0  1  1 10  1  1  1  1  1  1  1  1  6  1  2  1
 0  1  3  6  5  1 12 15  1  9 10  1  0  3  1  6  5  1 12 15  1 10  9  1  1  5  3  1  6  1 15  0  1  5 15  0  6 13  5  9 15  1  6  6  5
 0  0  8  0  0  0  0  0  8  8  0  8  8  8  0  8  8  0  0  0  0  8  8  8  8  8  0  8  8  0  0  8  0  0  0  8  8  8  0  0  8  0  8  8  0
 0  0  0  8  0  0  8  0  8  8  8  0  8  8  0  0  0  8  0  8  8  0  8  8  0  8  8  8  8  8  0  0  0  8  0  0  8  0  8  8  8  0  0  0  0
 0  0  0  0  8  0  8  8  0  0  8  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  0  0  0  8  8  0  0  0  0  8  8  0  8  8  8  8  8  0  0
 0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  8  8  8  0  8  0  0  0  8  0  8  0  8  8  0  0  0  0  8  0  8  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+79x^40+144x^41+306x^42+616x^43+451x^44+936x^45+457x^46+584x^47+291x^48+136x^49+61x^50+16x^51+8x^52+5x^54+1x^56+1x^58+1x^60+2x^62

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 0.201 seconds.