The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  1  1  0  1  2  8  1  1  1  2  1  1  1  1  2  1  1  0  1  4  1  1  1  1  1  4  1  1  1  2  1  2  1  2  1
 0  2  0  6  0 14 10  8  6  8  2  8  0  8  6  2  4  6  2  6 14  6 12  2 12 14  2 14  2  4 14 14  4  2  4 10 14  8  2 12  2 10 10 12 10  2  2  8  4  4  6  2 14  6 10  8
 0  0 12  0  0  0  0  4  4  8  4  4  8 12  4  4  4  0  4  0  8  8  0  8  8 12  0 12  4  0 12 12 12  0  8  4  4  4  0  8  8  8  0  0  0 12 12  4 12  4  0  8  8  0 12  8
 0  0  0 12  0  8 12  0 12  4 12 12  4 12  0  8 12  0  8  4  4  0 12  4  8 12  8 12  0  0  8 12  8  0  0 12  4  4 12 12  4  0  4  8 12  0  8  8  0 12  4  0  4  8  4  8
 0  0  0  0 12 12  4 12  8  0 12  4 12  8 12  0 12  8 12  4  0  0 12 12  8 12 12  4  0 12  0  8  4  4  4  0 12  8  4  8  0 12  4  8  0  0  0  8  4  8  8  0  4  4  0 12

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

Homogenous weight enumerator: w(x)=1x^0+54x^49+165x^50+206x^51+415x^52+502x^53+1256x^54+808x^55+1536x^56+790x^57+1200x^58+470x^59+358x^60+162x^61+132x^62+38x^63+19x^64+20x^65+23x^66+12x^67+6x^68+8x^69+8x^70+2x^71+1x^84

The gray image is a code over GF(2) with n=448, k=13 and d=196.
This code was found by Heurico 1.16 in 1.27 seconds.