The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^48+530x^49+1098x^50+1860x^51+3255x^52+4904x^53+7303x^54+8716x^55+10025x^56+8992x^57+7107x^58+5120x^59+3185x^60+1578x^61+919x^62+444x^63+243x^64+84x^65+51x^66+20x^67+6x^69+2x^70+2x^72+2x^73

The gray image is a code over GF(2) with n=448, k=16 and d=192.
This code was found by Heurico 1.16 in 40 seconds.