The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+9x^54+54x^55+141x^56+32x^57+6x^58+8x^59+2x^60+2x^71+1x^78

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 0.127 seconds.