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  1  1  1  2  2  1  1  2  1  1  4  1  1  1  1  1  0  1  4  2  1  2  1  4  2  2  2
 0 12  0 12  0 12  0 12  8  4  0 12  0 12  4  0  0  8 12 12  4 12  8  8  4  4 12  4  0  0  8  8 12 12  0  0 12 12  0 12  0  8  8  0  0  4 12 12 12 12 12 12 12 12 12 12
 0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  0  0  0  0  0  8  8  8  0  8  8  0  0  8  0  8  0  8  0  0  8  0  8
 0  0  0  8  0  0  0  0  0  8  0  8  0  8  0  8  8  8  0  0  8  0  8  0  0  8  0  0  0  8  8  0  0  8  0  8  8  8  0  8  0  0  8  0  8  8  8  8  8  0  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  8  8  0  0  8  0  8  0  0  0  8  0  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  0  0  8  0  8  0  0  0  8  8  0  0  8  8  8  8  0  0  8  0  8  8  8  0  0  8  8  8  0  8  0  0  8  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  0  8  0  8  8  0  0  8  0  8  0  8  8  8  8  8  0  0  0  8  0  0  8  0  8  8  8  0  8  0  0  0  0  0  0  8  8  8  0  8
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  8  8  0  8  0  0  0  8  8  8  0  0  0  8  0  8  0  8  0  0  8  8  0  8  8  8  8  0  8  8  0  0  0  8  0  8  8  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+76x^48+92x^50+287x^52+128x^53+356x^54+896x^55+449x^56+896x^57+356x^58+128x^59+259x^60+92x^62+59x^64+13x^68+6x^72+1x^76+1x^88

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 0.525 seconds.