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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+34x^53+68x^54+128x^55+90x^56+144x^57+4x^58+4x^60+12x^61+23x^62+1x^64+2x^69+1x^78

The gray image is a code over GF(2) with n=448, k=9 and d=212.
This code was found by Heurico 1.16 in 9.57 seconds.