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  2  1  1  2  1  1  1  1  1  2  4  1  0  1  4  1  4  1  2  1  1  2  2  4  1  1  1  1
 0 12  0  4  0  0  4 12  8 12  0 12  0 12  8 12  8  8  4 12  8 12  4  8  8 12  8  4  4  4 12  4  8  8  0  8  8 12 12  4  4  8  4 12 12  0  0  4  4 12 12  8  8  8 12  0
 0  0 12  4  0 12  4  8  4  4  0  0  0  4  4  8  4  8 12 12  0  0  0  4  0 12  8 12  4  8  8 12  4 12  4 12  4  0  8  0  0  8  4  4  0  8 12  8  8  0  0  4  0  4  0  0
 0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  0  8  8  8  0  0  8  0  0  0  0  8  8  8  0  8  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  0  0  8  0
 0  0  0  0  8  0  0  8  8  8  8  0  0  8  8  8  0  0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  0  0  8  0  8  8  0  8  0  0  8  0  0  8  8  8  8  0
 0  0  0  0  0  8  0  0  8  0  8  8  0  8  0  0  8  8  8  8  8  8  8  0  8  8  0  0  0  0  8  0  8  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  0  0  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  0  8  0  8  8  0  0  0  0  8  8  0  8  8  0  0  8  0  8  0  0  8  8  0  0  8  8  0  0  0  8  8  8  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+33x^48+36x^49+78x^50+94x^51+137x^52+372x^53+170x^54+1056x^55+218x^56+1046x^57+178x^58+344x^59+85x^60+58x^61+63x^62+40x^63+31x^64+22x^65+19x^66+2x^67+6x^68+2x^69+3x^70+1x^72+1x^90

The gray image is a code over GF(2) with n=448, k=12 and d=192.
This code was found by Heurico 1.16 in 0.491 seconds.