The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+152x^39+640x^40+1532x^41+2366x^42+3946x^43+5074x^44+5698x^45+4758x^46+3980x^47+2379x^48+1334x^49+554x^50+210x^51+90x^52+40x^53+2x^54+4x^56+2x^57+4x^60+2x^61

The gray image is a code over GF(2) with n=360, k=15 and d=156.
This code was found by Heurico 1.16 in 6.49 seconds.