The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+198x^49+846x^50+1784x^51+3331x^52+5214x^53+7252x^54+9174x^55+9883x^56+9326x^57+7585x^58+5208x^59+2974x^60+1548x^61+698x^62+248x^63+154x^64+40x^65+31x^66+16x^67+9x^68+10x^69+4x^70+2x^71

The gray image is a code over GF(2) with n=448, k=16 and d=196.
This code was found by Heurico 1.16 in 47.3 seconds.