The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+87x^56+848x^58+87x^60+1x^116

The gray image is a code over GF(2) with n=464, k=10 and d=224.
This code was found by Heurico 1.16 in 0.197 seconds.