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

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

Homogenous weight enumerator: w(x)=1x^0+152x^54+176x^55+425x^56+128x^57+95x^58+16x^59+30x^60+1x^106

The gray image is a code over GF(2) with n=448, k=10 and d=216.
This code was found by Heurico 1.16 in 42.9 seconds.