The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+190x^50+1198x^51+1507x^52+3358x^53+3094x^54+4960x^55+4259x^56+5164x^57+3246x^58+3054x^59+1200x^60+958x^61+274x^62+188x^63+35x^64+56x^65+12x^66+8x^67+5x^68+1x^72

The gray image is a code over GF(2) with n=448, k=15 and d=200.
This code was found by Heurico 1.16 in 9.33 seconds.