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  2  2
 0 12  0 12  0 12  0 12 12  0 12  0 12  8  4  0  8  4  8  4  0 12  8  4  0 12  0 12  8  4  8  4  0 12  0  8  8 12  4  4  0  8  8  8  0 12  4  4 12  4 12  0
 0  0  8  0  0  0  8  0  8  0  8  0  0  8  8  0  0  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  8  8  0  8  8  8  0  8  0  0  0  8  0  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  8  8  0  0  0  8  0  8  8  0  8  0
 0  0  0  0  8  0  8  8  8  0  0  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  8  0  0  8  8  0  8  0  8  0  8  8
 0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  8  8  0  8  0  0  8  0  8  0  0  8  8  0  0  8  8  8  0  0  8  0  8  8  0  8  8  0  8  8  8  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+37x^48+58x^50+64x^51+707x^52+64x^53+60x^54+22x^56+10x^58+1x^100

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 0.11 seconds.