The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+358x^49+1737x^50+3876x^51+6608x^52+10280x^53+15073x^54+17472x^55+19949x^56+18012x^57+15217x^58+10308x^59+6644x^60+3314x^61+1399x^62+546x^63+132x^64+66x^65+43x^66+20x^67+10x^68+2x^69+2x^70+2x^71+1x^74

The gray image is a code over GF(2) with n=448, k=17 and d=196.
This code was found by Heurico 1.16 in 129 seconds.