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  2
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4  0 12  8  4  8  4  8  4  0 12  8  4  4  8  8  4  8  4  0  8  8 12  4  4  0 12 12
 0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  0  8  0  8  0  0  0  0  8  8  0  8  8  0  8  8  0
 0  0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  8  0  8  0  0  8  8  8  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  8  0  8  0  8
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  8  0  8  0  0  8  0  8  0  8  0  8  0  8  0  8  8  8  8  0  0  0  8  0  0  0  0  8  0  0  0  8  8  0  8
 0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8  8  0  8  0  8  0  8  8  8  8  8  8  8  0  0  0  0  0

generates a code of length 59 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+37x^56+144x^58+640x^59+179x^60+16x^62+6x^64+1x^116

The gray image is a code over GF(2) with n=472, k=10 and d=224.
This code was found by Heurico 1.16 in 0.166 seconds.