The generator matrix

 1  0  1  1  4  1 10  1  1  1  1  6 10  1  1  1  1  4  1  1 10  1  1  0  1  1  1  1  1  1  1  1  1  0  1 14  1  1  1 10  1  1  4  1  8  1  2  4  1  8  0  1
 0  1  1  6  1  7  1  4 15  2  5  1  1  8  3 14 13  1 10  9  1  0 11  1  7 13  1 15  1 11 15 13 14  1  8  1 12  2  2  1  8 12  1  2  1 11 14  1  2  8  1  7
 0  0  2  0 10  2  6 10  8 10  8  0 10 14  6 14  6  6  0  8  0  0  4  0 12 12 12  8 14  6 10  2 12 14  4 10 10 14 12  6 14 12  2  2 12  4 10  4  4  2  4 12
 0  0  0  8  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  0  8  0  8  8  8  0  0  8  0  0  8  0  8  0  0  0  8  8  0  0  8  8  8  0  8  8  8  0  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+200x^48+420x^49+780x^50+428x^51+604x^52+476x^53+605x^54+260x^55+162x^56+64x^57+61x^58+16x^59+12x^60+5x^64+1x^66+1x^70

The gray image is a code over GF(2) with n=416, k=12 and d=192.
This code was found by Heurico 1.16 in 0.238 seconds.