The generator matrix

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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+14x^56+220x^57+14x^58+1x^64+4x^65+2x^66

The gray image is a code over GF(2) with n=456, k=8 and d=224.
This code was found by Heurico 1.16 in 0.169 seconds.