The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+133x^48+76x^49+445x^50+680x^51+1509x^52+2388x^53+3915x^54+4544x^55+5563x^56+4532x^57+3824x^58+2376x^59+1451x^60+684x^61+336x^62+80x^63+130x^64+51x^66+39x^68+5x^70+5x^72+1x^76

The gray image is a code over GF(2) with n=448, k=15 and d=192.
This code was found by Heurico 1.16 in 11.8 seconds.