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  1  1  1  1  1  1
 0 12  0  0  0  4 12  4  0  0  4 12  8  8  4  4  4  0  8 12  8  8 12  4  8  4  0 12  4  8  8 12  0  0 12  8 12  0 12 12  0  4 12  0 12  4  8  8 12  0  0  8
 0  0 12  0  4  4 12  0  0 12  4  8  0 12  4  8 12  8  0 12 12 12  8  0  4 12  8  4  0  8  4  8  8  4  4  0  4 12  0  0  4 12  4  0  8  8  8  8  0  4 12  0
 0  0  0 12  4  0 12  4  8  8  8  8  4  4  4 12  4 12  8  0  8 12  4  8  4  0  0  4  0 12  0 12  8 12 12 12  0 12 12  8  8 12  8  4  0  8  8  0  4  0  4  0

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

Homogenous weight enumerator: w(x)=1x^0+11x^48+32x^49+32x^50+32x^51+808x^52+32x^53+32x^54+32x^55+11x^56+1x^104

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 0.086 seconds.