The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+32x^54+54x^55+97x^56+32x^57+23x^58+8x^59+6x^60+2x^71+1x^74

The gray image is a code over GF(2) with n=448, k=8 and d=216.
This code was found by Heurico 1.16 in 0.0838 seconds.