The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+204x^49+455x^50+920x^51+1526x^52+2782x^53+3572x^54+4742x^55+4510x^56+5122x^57+3309x^58+2488x^59+1437x^60+878x^61+420x^62+194x^63+97x^64+50x^65+18x^66+20x^67+11x^68+4x^69+2x^70+4x^71+2x^72

The gray image is a code over GF(2) with n=448, k=15 and d=196.
This code was found by Heurico 1.16 in 44.3 seconds.