The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+151x^48+60x^49+462x^50+620x^51+1750x^52+1876x^53+4354x^54+4140x^55+6152x^56+3948x^57+4308x^58+2084x^59+1658x^60+508x^61+412x^62+68x^63+108x^64+8x^65+62x^66+22x^68+2x^70+10x^72+2x^76+2x^80

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 13.3 seconds.