The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  1  1  0 10  1  1  1  1  1  1  8  2 12  6  4 14  1  1  1  1  1  1  1  1  1  1  1  1  1  1  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  0  6  3  9  1  1 12 10  8  4 14  2  1  1  1  1  1  1 15  7  1 11  5 13  0  8 14 14  8 12  6 10  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  0  0  8  8  0  0  8  8  0  8  0  8  0  0  8  0  8  0  8  0  8  0  8  8  8  0  0  0  0  8  0  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  8  0  0  8  0  8  8  8  0  0  0  8  8  0  0  8  8  0  8  0  0  8  8  0  0  8  8  0  8  0  0  8  0

generates a code of length 57 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+24x^54+296x^55+102x^56+176x^57+102x^58+296x^59+24x^60+1x^64+2x^82

The gray image is a code over GF(2) with n=456, k=10 and d=216.
This code was found by Heurico 1.16 in 0.0872 seconds.