The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1 10  1  1  2  1  1  1  1  1  1  1  1  1  0  8  1  1  1
 0  1  3  6  5  1 15 12  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  1  5 13  6 15 11  5  9 11 11  0  8  3  1  1  9 15  0
 0  0  8  0  0  0  0  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  8  8  8  0  8  0  8  8  0  8  0  0  8  0  0  8  0  8  0  0  8  0  8  0  8
 0  0  0  8  0  8  8  8  8  0  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  0  8  8  0  8  8  8  0  0  8  8  8  8  8  8  0  8  0  8
 0  0  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  0  0  0  8  0  0  8  0  8  0  8  0  8  0  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+115x^48+188x^49+206x^50+404x^51+252x^52+372x^53+220x^54+172x^55+79x^56+16x^57+21x^58+1x^72+1x^74

The gray image is a code over GF(2) with n=416, k=11 and d=192.
This code was found by Heurico 1.16 in 0.0966 seconds.