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

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

Homogenous weight enumerator: w(x)=1x^0+10x^56+58x^57+101x^58+684x^59+101x^60+58x^61+10x^62+1x^118

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 0.102 seconds.