The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  2  1  8  1  1  8  1  1  2  1  1  4  1  2  1  1  1  8  1  2  1  1  2  1  8  1  0  1
 0  2  0  2  0  8  2 10  8  2 12 14  0 10  4  6  8  4  2 10 14  6  2 12  2  6  0  8 14  2  4  4 12 14  8  2  4 10  0 10  2 12  0  6 10  0  6 14  4  6  0  4
 0  0  2  2 12 14  6 12  0  2 10 12  4 14 14  8  0 10 10 12 14  0 12  0  2 12  2 14 10  6  6  8 10  8  2 14  0  0 12  4  4  2 10  4  6 10  6  8  2 14  2 12
 0  0  0  4  0  0 12  8  4  8 12 12 12  8  4 12  4 12 12  0 12  0  8 12  8  0 12 12  0 12  8 12  0  0  8 12  4  8  8  4  4  0  0 12  4 12  4  8  8  8  4 12
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  8  8  8  0  0  8  0  0  8  8  0  0  0  0  8  8  0  8  8  8  0  0  8  0  8  8  8  0  0  8  0  8  8  0  8  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+296x^47+455x^48+612x^49+886x^50+1220x^51+1325x^52+1124x^53+828x^54+530x^55+311x^56+222x^57+130x^58+64x^59+47x^60+24x^61+9x^62+2x^63+5x^64+2x^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 1.08 seconds.