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

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

Homogenous weight enumerator: w(x)=1x^0+20x^53+42x^54+112x^55+178x^56+104x^57+20x^58+16x^59+12x^60+4x^61+1x^64+2x^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 0.117 seconds.