The generator matrix

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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+40x^47+130x^48+232x^49+434x^50+852x^51+1692x^52+2886x^53+4944x^54+7300x^55+9066x^56+10124x^57+9552x^58+7434x^59+4727x^60+2812x^61+1593x^62+814x^63+464x^64+172x^65+103x^66+66x^67+41x^68+22x^69+11x^70+6x^71+7x^72+8x^73+3x^74

The gray image is a code over GF(2) with n=456, k=16 and d=188.
This code was found by Heurico 1.16 in 45 seconds.