The generator matrix

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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+186x^50+388x^51+1014x^52+1560x^53+2706x^54+3544x^55+4545x^56+4864x^57+4826x^58+3656x^59+2507x^60+1464x^61+734x^62+344x^63+240x^64+48x^65+84x^66+4x^67+35x^68+8x^70+10x^72

The gray image is a code over GF(2) with n=456, k=15 and d=200.
This code was found by Heurico 1.16 in 24.2 seconds.