The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+356x^50+832x^51+1985x^52+2280x^53+4513x^54+3760x^55+5579x^56+3968x^57+4205x^58+2208x^59+1778x^60+648x^61+363x^62+112x^63+113x^64+16x^65+35x^66+13x^68+3x^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 8.6 seconds.