The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1 10  1  1  1  1 12 10  1  0  1  1  0  1  1  6  1  1  1  1  1  1  1  4  0  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12  9  1 10  0 15  9  1  1  3  1  6 15  1 12  6  1 12  0  5 12 12  3 15  8  1  0
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  8  0  0  0  8  8  8  8  0  8  0  0  8  8  8  8  0  8  0  0  8  8  8  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  0  8  0  8  8  8  8  0  8  0  0  0  8  8  0  0  8  0  0  0  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  8  0  8  0  0  8  8  0  8  0  8  8  0  0  0  8  0  0  8  8  0  0  8  8  8
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  0  8  0  0  0  8  8  0  8  8  0  0  8  0  8  0  0  8  8  0  0  0  0  8  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  0  0  8  0  8  8  8  8  8  8  0  8  0  8  8  8  0  0  0  0  0  0  8  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+11x^38+72x^39+188x^40+206x^41+788x^42+656x^43+1707x^44+950x^45+1724x^46+648x^47+767x^48+234x^49+152x^50+32x^51+20x^52+18x^53+7x^54+4x^56+4x^58+1x^60+2x^62

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 0.555 seconds.