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

generates a code of length 53 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+80x^45+377x^46+612x^47+1041x^48+1860x^49+2353x^50+3364x^51+4344x^52+4568x^53+4661x^54+3506x^55+2271x^56+1674x^57+919x^58+560x^59+292x^60+110x^61+103x^62+38x^63+17x^64+10x^65+2x^66+2x^68+2x^69+1x^70

The gray image is a code over GF(2) with n=424, k=15 and d=180.
This code was found by Heurico 1.16 in 14.3 seconds.