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  2  1  1  1  1
 0  2 12  6  0  6 12 10  0  6 10 12  8 14  4 10  0  6 12 10  0  6 12 10  0 10 12  6  8 14  4  2  0  6 12 10  8 14  4  2  4 14  8  2  8  8  0  4  6  2  0  0
 0  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  8  0  0  8  8  8  0  0  8  0  0  8  8  0  0  8  0  0  8  0  8  8  8  8  8  8  0  0  0  0  8  0  0  8  8  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  0  0  8  8  8  0  8  0  0  8  0  0  8  8  0  8  8  8  0  0  0  0  8  8  8  0  8  8  0  0  0  0  0  8  0
 0  0  0  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  0  8  8  8  0  8  8  8  0  0  8  0  8  0  8  8  0  8  0  0  0  0  8  0  0  8  8  0  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+15x^48+80x^49+32x^50+48x^51+676x^52+80x^53+27x^54+16x^55+12x^56+32x^57+4x^58+1x^102

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 0.103 seconds.