The generator matrix

 1  0  1  1  1  6  1  1 10  1  1 12  1  1 12  1  1 10  1  1  6  1  1  0  1  1  1  1  8 14  1  1  1  1  4  2  1  1  1  1  1  1  1  1  8 14  4  2  1  1  1  1  1  1  2  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  8 14 11 13  1  1  4  2  7  1  1  1  8 14  4  2 11 13  7  1  1  1  1  1  0  6 12 10  0  6  6  8
 0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  0  8  0  8  0  8  8  0  8  0  8  0  0  8  0  8  0  8  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  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+16x^54+112x^55+252x^56+112x^57+14x^58+2x^60+1x^64+2x^78

The gray image is a code over GF(2) with n=448, k=9 and d=216.
This code was found by Heurico 1.16 in 0.0725 seconds.