The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+270x^48+228x^49+718x^50+1060x^51+1612x^52+2448x^53+3056x^54+4988x^55+4182x^56+4784x^57+3036x^58+2812x^59+1517x^60+832x^61+606x^62+228x^63+241x^64+28x^65+60x^66+46x^68+10x^70+2x^72+2x^74+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 20.5 seconds.