The generator matrix

 1  0  0  1  1  1 10 14  2 12  1  1  1  1  1  8  0  4  1  1  1  1  8  6  2 12  1  1 10  1  1  1  4  1  2  1  1  1  1  6  1  1  1 12  1
 0  1  0  0  5  5  1 14  1  1  4  7 15  2  6 14  1  1  2 15  1  4  1  1 12  1  7 11  1  9 15  3  1  1  1 14  6  4 10  1  2  7 14  1 14
 0  0  1  3 11  8  7  1 14  5  2  7  6  1 15  1  6  7 12  5 10  1  3  4  1  9 11 14  7  5 12  1  8  4  0 11  5 11  2  0 10  8  4 14 10
 0  0  0  8  8  0  8  8  8  0  8  0  8  0  8  0  0  0  8  0  0  0  8  0  8  8  8  0  0  0  8  8  8  8  8  0  8  0  0  0  8  0  0  8  8

generates a code of length 45 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+318x^41+959x^42+1020x^43+1327x^44+1286x^45+1332x^46+770x^47+574x^48+280x^49+195x^50+82x^51+17x^52+20x^53+10x^54+1x^56

The gray image is a code over GF(2) with n=360, k=13 and d=164.
This code was found by Heurico 1.16 in 0.509 seconds.