The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^38+80x^39+102x^40+512x^41+248x^42+1680x^43+40x^44+2624x^45+208x^46+1712x^47+80x^48+448x^49+196x^50+112x^51+8x^52+18x^54+22x^56+4x^58+3x^64

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 95 seconds.