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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+48x^59+162x^60+608x^61+152x^62+48x^63+4x^64+1x^120

The gray image is a code over GF(2) with n=488, k=10 and d=236.
This code was found by Heurico 1.16 in 30.7 seconds.