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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  6  4 14 12  2  0  6 12 10  0 14  4  2  2  0  8 14 14  4  4 10 10  0 14  8 14 12 12 10 12 10  8  6  8  6  8 14  8  6 12  8 10  6  8 14 12  4  0 10  2  6  4  0
 0  0 12  0 12  4  0  4  8  8  8  8  4 12  4 12  4  0  4  4  8  4  0  8 12  8 12 12  0 12  8  0 12 12  4 12  8  0  0  0 12  4  4  8  4  8  0  8  0  8 12  0  0 12 12  0
 0  0  0  8  8  0  8  8  0  8  8  0  0  0  8  8  0  8  8  8  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  0  8  8  0  0  8  8  8  0  0  8  0  8  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+32x^53+56x^54+64x^55+718x^56+64x^57+56x^58+32x^59+1x^112

The gray image is a code over GF(2) with n=448, k=10 and d=212.
This code was found by Heurico 1.16 in 0.2 seconds.