The generator matrix

 1  0  0  1  1  1 10  1  4  4  1  6  1  1  1  1  1  1 10  6  4 14  4  1 10  1  1  1  1 10  1  1  1  1  8  1  2 12 14  4  1  1  0  1  6 14  1  1  1  1  1  6
 0  1  0  2  1 11  1  0  6  1  1  1  4  1 14 10 13 15 14  1  1  0  1  9  1  6  6 15  9  0 12  5 11  4 14  6  1  1  1 10  5  5  1  5  1  1  3 10  0 15  7  1
 0  0  1  1  5  4  1  3  1 10  6  3  2  7  6  7  0  1  1  2  1  1  3 10  0 13  4  2 11  1  9  0  9 12  1 13  6 14 13  1  6 15 11 11 13 11 11  9  0  3  4  7
 0  0  0  4  4  0 12  8 12  4 12  8  8  8  4 12 12 12  8 12  8  4  4  8  8  8  4  8  0  4  4  8  8 12 12  4  8  0  4  8  8  4  0  8  0  4 12  0  4  8  8 12
 0  0  0  0  8  0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  8  0  8  0  8  0  0  8  8  0  0  8  0  8  8  8  8  0  0  0  8  8  0  8  8
 0  0  0  0  0  8  8  0  0  0  8  8  8  0  8  8  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  0  0  0  8  8  0  8  8  0  0  8  8  8  0  8  0  8  8  8  8  8

generates a code of length 52 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+180x^45+731x^46+1416x^47+3525x^48+4408x^49+8412x^50+8024x^51+11860x^52+8274x^53+8977x^54+4434x^55+3078x^56+1094x^57+667x^58+256x^59+92x^60+52x^61+24x^62+10x^63+4x^64+6x^65+5x^66+4x^67+2x^69

The gray image is a code over GF(2) with n=416, k=16 and d=180.
This code was found by Heurico 1.16 in 89.6 seconds.