The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+390x^48+880x^49+1210x^50+1420x^51+1121x^52+1148x^53+704x^54+540x^55+389x^56+188x^57+90x^58+40x^59+56x^60+8x^61+4x^62+2x^64+1x^68

The gray image is a code over GF(2) with n=416, k=13 and d=192.
This code was found by Heurico 1.16 in 0.578 seconds.