The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1 10 14  0  1  1  8  4  1  8  1  1  1 14 12  1  1  1  1  1  1 14 14  8  6  4  6  1  6  1  1  1  1  1 12  1 12 14 10  8 10  1
 0  1  0  0  8  1  9  1 12  4  9 13  1 12  1  5  0  1  2 15 10 14  9  2  1  2  8 14  0  9  2  3  8  1  1  1  1  2 13  4 11 15 10  1  6  1 10 12  0  1 12  1 10
 0  0  1  0  9  1  8  9  0  9  5  4 15  1  6  6  3  1  1 15  1  4  0 12  2 14  9 10 10  9 13  4 10  5  2 12  7  1  8  1  1  7 11  3  0  9  1  1  1  8  6  3  2
 0  0  0  1  1  8  9  9  5 12 13  0 14  3 13  8  2 10  8  5  7  4 11 15  7  1 11 14 15  6 10  2  1 11 12  7  1  9 14  0  4 11  3  4 14  3  8  5 14  0  1 11 12

generates a code of length 53 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+600x^47+1702x^48+3606x^49+5690x^50+7466x^51+8672x^52+9976x^53+8734x^54+8262x^55+5503x^56+2816x^57+1453x^58+678x^59+214x^60+112x^61+24x^62+18x^63+4x^64+2x^65+3x^66

The gray image is a code over GF(2) with n=424, k=16 and d=188.
This code was found by Heurico 1.16 in 31.4 seconds.