The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^48+272x^49+221x^50+372x^51+178x^52+366x^53+221x^54+266x^55+64x^56+2x^57+5x^58+2x^59+2x^60+1x^70+1x^80

The gray image is a code over GF(2) with n=416, k=11 and d=192.
This code was found by Heurico 1.16 in 0.127 seconds.