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  1  0  2  2  8  2  1 12  1  0  4  1  1  2  1  1  1  0  0  1  1  4 12  4  2  1  2  2  1  1  4  2  1  2
 0  2  0  2  0  0  2 10  8  0  6  6  4  2  2 12  0 12  6 14 10  8 12 12  4 12  2 14  2  2 14  0  2  8 14 12 12  4  2  2  2  6  4  2  2  2 10 14  2 14  8 12  2 14 14 12
 0  0  2  2  0  6 10  8  6  4  6 12 12 12 14  2  4 14  8 10  4 10  8  2  2  6 12  0 14  6  0  2  8 10 14 10  2  4  4  0 10 10  6 10  2  2  6 10  6  6  8  2 10 12  0  2
 0  0  0  4  0  0  4  0  0  0 12  0  0  0  4  8  0  8  8  4  8  8  0  0  8  8 12 12 12 12  8  4  8  4  0  4 12 12 12  4  0  8  4  8 12  4  8  8 12  0 12  4  4  4 12 12
 0  0  0  0 12  0 12  4  4  4 12  4  8  0  8 12  8 12  0  8  4  8 12  4  8  0  4  0  4  4  4  4  4 12  4  4 12  4  0 12  4  0  8 12  0  4  8  4  4 12  0 12  0  8  4  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  0  8  8  8  0  8  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  0  8  0  8  0  8  0  8  0  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+263x^48+260x^49+778x^50+1016x^51+1749x^52+2360x^53+3518x^54+3968x^55+4879x^56+4168x^57+3510x^58+2424x^59+1754x^60+856x^61+622x^62+272x^63+204x^64+36x^65+72x^66+41x^68+12x^70+5x^72

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 22.3 seconds.