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  1  1 12  0  0  1  2  2  1 12  8  1  2  1 12  1 12  2  0  4  8  1  2  8  2  2  2  1  1  2 12  1  1
 0  2  0  0  0  2 14  2  4 12 14 10 12 14 12 14  4 14  0  4  2 10  4  6  6  2 12  2 12 14 10  4  2  2 14 14  6  2 12 12  8  0  2  0  4  8  4  8 12 12  6  4  8  2  8 12
 0  0  2  0  2  2 10  8  0  0  2 10  6  4 14  4  8  8  4  2 14 10  2  0  4  6  2  4  0  2 12 14  0  4  2 10  0 12  4  8 14 12  2  2  8  4  2 14  6  2 12  4  0 14  8  8
 0  0  0  2  2  8  2  6 14  4  4 14 14 10 12  4 10 14 12  6 12  6 12  0 12  0 12  2  8  6  0  2 10  8  6  8  6  2  0  2 12  2 14  6  4 10 10 14  8  0  6 10 10  6  0  2
 0  0  0  0  4  0  4 12 12 12 12  8  8  0 12 12 12  0  0  4  0 12 12 12  8  8  0  8  0  8  4  0 12  8  0  4  4  0  0  8  8  0  4 12  4 12 12 12  4  0  4  4  8  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+119x^48+370x^49+784x^50+1064x^51+1951x^52+2324x^53+3667x^54+3728x^55+4874x^56+3748x^57+3827x^58+2212x^59+1855x^60+936x^61+570x^62+352x^63+208x^64+92x^65+43x^66+20x^67+16x^68+5x^70+2x^73

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 15.3 seconds.