The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  6  1  1  1 12  1  1 12 10  1  1  6  1  0 10  1  1  1  1  1  1  6 10  1  1  1  6  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  1  5 15 12  1  9 10  1  1  6  0  1  3  1  1 10 12 15  5  9  5  1  1  6  3  9  1  3  3
 0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  8  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  0  0  8  0  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  8  0  8  8  0  8  0  0  0  0  8  0  0  8  8  8  0  0  8  8  0  8  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  0  8  0  8  8  8  0  0  8  8  8  8  0  0  0  8  0  8  8  0  0  8  8  0  0  8  8  8  0  0  8  0  8
 0  0  0  0  0  8  0  0  8  8  0  0  0  8  8  8  8  0  8  0  0  8  0  8  0  8  8  8  0  0  0  8  8  8  0  8  0  8  8  0  8  8  8  8  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  8  0  8  8  0  8  8  0  0  8  8  0  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  0  8  0  8  8
 0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  0  8  0  8  8  8  0  0  8  0  0  8  8  0  8  0  8  0  0  8  0  8  0  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+99x^38+40x^39+285x^40+528x^41+1321x^42+1624x^43+3180x^44+2272x^45+3171x^46+1624x^47+1306x^48+528x^49+256x^50+40x^51+78x^52+7x^54+7x^56+7x^58+6x^60+3x^62+1x^64

The gray image is a code over GF(2) with n=360, k=14 and d=152.
This code was found by Heurico 1.16 in 2.29 seconds.