The generator matrix

 1  0  1  1  1  4  1  2  1  1  6  1  0  1  1  4  1  2  1  1  1  1 12  1 12  1  4  1  6  1  1  1 10  1  1  1  4  1  2  1  1  2 12  1 10
 0  1  1  0  3  1 13  1  2 13  1  2  1  4 15  1  2  1 15  1 14 15  1  0  1 14  1 11  1  3  8  1  1 12  6 10 12  9 10  5  4  0 12 10  1
 0  0  2  0  0  8  0  8  8  8  8  0  0  6 10 14  2 10  4 14 10 10  4 10 10  4 10 12 10  2  6  4  2  4 12 12  2 10  6  6  2  2  2 10  0
 0  0  0  2  8 10 10  2 10  4  8 12  4 12  6  2  6 12 10 10  8  4  2 14 12  8 14  8 14  2  0 14 10  8  2 12  0  4  6 14  8  2 12  2  8

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

Homogenous weight enumerator: w(x)=1x^0+454x^40+712x^41+1536x^42+1680x^43+2716x^44+2504x^45+2602x^46+1580x^47+1395x^48+592x^49+396x^50+64x^51+96x^52+32x^53+10x^54+4x^55+10x^56

The gray image is a code over GF(2) with n=360, k=14 and d=160.
This code was found by Heurico 1.16 in 10.9 seconds.