The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1 12  1  6  1  1  1 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  8 12  1  1  1  1  4  6 14  2  2
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6 15  1  5  1 12 10  9  1  0  6  3  9 12 15  5 14 10  8  4  2 11 13  7  1  0 14  8 14  1  1  1  8  2  2  8  1  1  1 12 12
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  8  8  0  0  8  0  8  8  8  0  0  8  0  0  8  8  0  8  0  8  8  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  8  8  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  0  8  8  0  8  0  0  8  0  8  0  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+384x^54+266x^56+360x^58+3x^60+8x^62+1x^76+1x^80

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 13.9 seconds.