The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+317x^54+356x^55+266x^56+234x^57+271x^58+320x^59+224x^60+6x^61+26x^62+8x^63+4x^64+4x^65+4x^66+1x^68+4x^70+2x^78

The gray image is a code over GF(2) with n=456, k=11 and d=216.
This code was found by Heurico 1.16 in 0.188 seconds.