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

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

Homogenous weight enumerator: w(x)=1x^0+85x^46+92x^47+216x^48+252x^49+510x^50+536x^51+710x^52+584x^53+504x^54+252x^55+199x^56+60x^57+42x^58+16x^59+13x^60+11x^62+11x^64+1x^68+1x^80

The gray image is a code over GF(2) with n=416, k=12 and d=184.
This code was found by Heurico 1.16 in 0.39 seconds.