The generator matrix

 1  0  0  1  1  1 10 14  1  6  1  1  1 12  1  4  1  1  1 14  4  1  2 10  1  4  1  6  1  1 12  1  1  2  1  1  6  4  1  1 10  1  1  1  1 14  1  1  1 12  4  1
 0  1  0  0  5  5  1  8  0  1  7  6 11  1  2  1 14 11  9  1  6 12  2  1  1  1 11 12 14  6 12  8  3  1  3  4  1  1 13  6  1 10  4  4 15  1  7  4 11  1  0  7
 0  0  1 11  7  0  7  1 14  2  7  3  0  5  1 10 12  5  2  5  1  1  1  4 13  3  2  1  3 10  1 13 13 14 15  2 15  2  0  1  5  5  6  4  7  8  0 15  3  0  1  1
 0  0  0 12  4  8 12 12  4  4  0  0  4  8 12  8  4 12  4 12  4  0  8  8  0  4  0  8  4 12 12 12  0 12 12  0  0 12 12  8  8  4 12  4 12 12  8  8  4  0  0  8
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  0  8  8  8  8  0  8  8  0  0  8  8  0  0  8  0  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+160x^46+756x^47+1995x^48+2646x^49+3947x^50+4298x^51+5350x^52+4458x^53+3987x^54+2390x^55+1576x^56+666x^57+315x^58+134x^59+42x^60+6x^61+21x^62+6x^63+12x^64+2x^66

The gray image is a code over GF(2) with n=416, k=15 and d=184.
This code was found by Heurico 1.16 in 7.96 seconds.