The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+28x^48+90x^49+90x^50+334x^51+307x^52+746x^53+790x^54+1154x^55+1207x^56+1152x^57+802x^58+740x^59+197x^60+288x^61+95x^62+60x^63+40x^64+22x^65+6x^66+14x^67+12x^68+6x^69+7x^70+2x^71+1x^74+1x^82

The gray image is a code over GF(2) with n=448, k=13 and d=192.
This code was found by Heurico 1.16 in 1.26 seconds.