The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  2  1  1 12  8  1  1  1  2  0  2  1  2 12  2  2  2  1  2  1  1
 0  2  0  2  0  0  6 14  4  4 10  6  8  2 12  2 12 12 14 14 10  4  8  6  8  0  2  2  2  8  8  6  6  2 12 10 12  0  6  2  2 10 10  8 10
 0  0  2  2 12  6  6  4  4  2  6  0  0  6 14  4  0  8  2  2  6 10 14  0  2  8  4  0  2  6 14 10  6  6  6  8 10  2 14  2 12  6  0 10  0
 0  0  0  8  0  0  8  0  0  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  0  8  8  8  0  8  8  0  8  8  8  8  8  0  0  0  8  0  0  0  0
 0  0  0  0  8  0  8  0  8  8  0  8  0  8  8  8  8  8  0  8  8  0  8  0  8  0  8  8  8  0  8  8  8  0  0  8  8  0  0  8  0  8  8  8  8
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  0  0  8  0  8  8  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  8  0  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+94x^39+244x^40+426x^41+623x^42+984x^43+1100x^44+1396x^45+1084x^46+976x^47+509x^48+324x^49+197x^50+120x^51+60x^52+28x^53+15x^54+2x^55+6x^56+2x^57+1x^62

The gray image is a code over GF(2) with n=360, k=13 and d=156.
This code was found by Heurico 1.16 in 0.854 seconds.