The generator matrix

 1  0  1  1  1 14  1  4  1 10  1  1  1  1  2 12  1  1  1  1  2  1  1  1  8  1  2  1  1  1  1  1  1  4 14  0  1  1  1  4  0  1  1  1  1
 0  1  1  6  3  1 13  1  4  1 14 11  2  1  1  1 12  9 12  7  1 10  4  7  1  2  1 13  4  5 15  8  4  1  1  1  5 14  1  1  1  8 12  5 12
 0  0  2  0  8  8  0 14  6 14 10 14  4 12  0 12  8 10  2 10  6  2 12  8  2 12  0  2  4 12  6  6  8  2 12 12  6 14  6  6  8 12  2 14  6
 0  0  0 12  0  4  4 12  4  8  8  4 12  4 12  0  8 12 12  0 12 12  8  4  0  0  8  4 12  8  8  8 12  8 12  4  0  0 12  8 12  4  4 12 12

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

Homogenous weight enumerator: w(x)=1x^0+107x^40+390x^41+586x^42+1204x^43+1129x^44+1504x^45+1110x^46+1122x^47+521x^48+334x^49+90x^50+24x^51+21x^52+28x^53+12x^54+2x^55+5x^56+2x^62

The gray image is a code over GF(2) with n=360, k=13 and d=160.
This code was found by Heurico 1.16 in 0.664 seconds.