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  1  1  1  1  2  2  2  1  2  4  1  1  2  1  1  2  1  1  4  2  1  2  2  4  1  4  1  2  1  1  1
 0 12  0  0  0  4 12  4  8  0  4  0  8  4  4  4  4  8  8  0  0 12  4  0  4  4  0 12  8  0 12  4  4  0 12  4  8  4  8 12  0  4  0 12  4 12  4 12  0  8 12 12  4  8 12  4
 0  0 12  0  4  4 12  0  0  4  8  0 12 12  8  4  4  0  8 12 12 12  0  0  4  8  8  4  0 12  8  0  0  4  8  0  0 12  4  8  4  8  4  4 12  8  0  8  4 12  4  0  8  4  4  4
 0  0  0 12  4  0 12  4  4  8  0  8  4  4  4  8  8  4  0  0  4 12  8  0  4 12  8  8 12  0  8 12 12  4  0  8 12  0  0  0  4  8 12 12  8  4  0  4 12 12  4  4  8  4  8  0
 0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  8  0  8  0  0  0  8  8  8  0  8  8  0  0  8  8  8  8  0  0  8  8  0  0  8  8  8  0  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  0  8  8  8  0  0  8  0  0  8  8  8  0  8  8  8  0  0  8  8  8  8  0  0  0  8  8  0  0  8  8  8  0  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  8  8  8  0  8  8  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  0  0  0  0  0  8  8  8  8  0  8  8  0  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+123x^48+292x^50+72x^51+403x^52+432x^53+763x^54+1016x^55+2094x^56+1056x^57+714x^58+440x^59+306x^60+48x^61+211x^62+8x^63+119x^64+61x^66+21x^68+6x^70+3x^72+1x^74+1x^76+1x^84

The gray image is a code over GF(2) with n=448, k=13 and d=192.
This code was found by Heurico 1.16 in 1.56 seconds.