The generator matrix

 1  0  0  1  1  1 10  2  1  1  1 14  1  8  1  1  0 14  1 12  1  6 10  1  1  4  1  1  2  1  2  1  1  1  1 14  1  1  1 10  4  1  1  1  1  1  0  1  8 10 10  1
 0  1  0  8  5 13  1  1 14 11 12 12  3  1  6  9  6  1  2  1  4  1  2  5  3  1  7 12  6  7  1  0 10  9  6  1  9 12 13 12  6  0  5 11  2  8  1  7  1  1  1  0
 0  0  1 11  3  8 15  2 15  7  2  1 10 13 13 14  1 12  4 10  9  9  1  1 12 11  1  0  1  7 14  9  6 13  3 11  4 15 13  1  1 12  7  1  2  6 12  5  2  0  2  0

generates a code of length 52 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+90x^48+532x^49+588x^50+758x^51+655x^52+562x^53+224x^54+294x^55+153x^56+102x^57+66x^58+52x^59+13x^60+4x^61+1x^62+1x^70

The gray image is a code over GF(2) with n=416, k=12 and d=192.
This code was found by Heurico 1.16 in 0.172 seconds.