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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+296x^48+288x^49+1058x^50+972x^51+2362x^52+2708x^53+5300x^54+6600x^55+8286x^56+9472x^57+8612x^58+6824x^59+5433x^60+2684x^61+2162x^62+860x^63+890x^64+264x^65+266x^66+36x^67+101x^68+8x^69+38x^70+4x^71+7x^72+4x^74

The gray image is a code over GF(2) with n=456, k=16 and d=192.
This code was found by Heurico 1.16 in 68.7 seconds.