The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^49+166x^50+348x^51+260x^52+728x^53+662x^54+1508x^55+913x^56+1364x^57+686x^58+728x^59+221x^60+230x^61+108x^62+94x^63+37x^64+32x^65+8x^66+8x^67+7x^68+6x^69+2x^70+2x^71+4x^73+1x^80

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 1.41 seconds.