The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  2  1  2  2  1  2  2  1  1  2  1  2  1  0  1
 0 12  0  0  0  0  0  0  0  0  4  8 12 12  4 12  0  8  4  4  8 12  8  8 12  0 12  8  4 12  4 12 12  8  0 12  8  4  0 12  4  8  0  4 12
 0  0 12  0  0  0  4 12 12  8  4  0 12  8  4  4  4  4 12  4  4  8  4  0 12  8 12  4  8  0  0  0 12 12  4  0  4  4  8  0  8  0  0 12  4
 0  0  0 12  0  4  4  4  0  8  0  0  0  0  4 12  8  8 12 12  8 12  0 12  0 12  8  8  8 12 12 12 12 12  4 12  0  8  8  8  0  8  4  4  0
 0  0  0  0 12  4  8  4  4  0  8  4 12  4 12  0  4  8  0 12  0 12  8  0  4  4  8  0 12  4  8  8  8  8  8 12  4  8 12 12  8  4  8  8  8
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  0  0  8  8  0  8  8  8  0  0  8  8  8  8  0  0  8  8  0  0  0  0  0  8  0  0  8  8  0

generates a code of length 45 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+196x^38+20x^39+321x^40+92x^41+448x^42+512x^43+1599x^44+1824x^45+1651x^46+532x^47+474x^48+60x^49+199x^50+24x^51+146x^52+8x^53+53x^54+16x^56+13x^58+2x^60+1x^68

The gray image is a code over GF(2) with n=360, k=13 and d=152.
This code was found by Heurico 1.16 in 90.3 seconds.