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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  4  1
 0 12  0  4  0  0  4 12  0  0  4 12  0  8  4  4  8  8 12 12 12  8  0 12 12  0  8  0  8 12 12  4  4  4  4  4 12  0  8  8  0  8 12  8 12 12  0  8  4  0 12  8
 0  0 12  4  0 12  4  0  0 12  4  0  8  4  0 12  8 12 12  8  4  4  8  8 12  8  4  4  0 12  0  0  4 12  8  8  8  0  0 12 12 12  4  8 12  4 12 12 12  4  0  4
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  8  0  8  8  0  0  8  0  0  8  0  8  8  0  0  8  8  0  0  8  0  0  8  8  8  8  8  0  8  0  8  0  0  0  8  0  8  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  8  8  0  8  0  0  8  8  0  8  8  8  0  0  0  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+21x^48+48x^49+33x^50+272x^51+288x^52+288x^53+16x^54+16x^55+10x^56+16x^57+14x^58+1x^98

The gray image is a code over GF(2) with n=416, k=10 and d=192.
This code was found by Heurico 1.16 in 0.108 seconds.