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

generates a code of length 52 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+98x^46+344x^47+342x^48+750x^49+768x^50+1266x^51+1201x^52+1306x^53+780x^54+578x^55+247x^56+238x^57+108x^58+78x^59+31x^60+38x^61+5x^62+6x^63+2x^64+4x^65+1x^78

The gray image is a code over GF(2) with n=416, k=13 and d=184.
This code was found by Heurico 1.16 in 0.967 seconds.