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  2  1  1  2  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  4  0  0  4 12  0  0  4 12  0  0  4 12  0  4  0  4  0  4  4  0  8 12 12  8  0  0  0  0 12 12  4 12  8  8  8  8  4 12  8  8  4  8  8 12  4 12 12  8  8  4  4  8  8 12  8  4 12
 0  0 12  4  0 12  4  0  0 12  4  0  0 12  4  0  8 12  4  8  8 12  8  4  4  8  8  4  8  4  8  4 12 12 12  4  8  4 12  0 12  4  8  4  8  8 12 12  0 12  8  0  4  0  8  8 12  4 12  0  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8  8  8  8  0  0  8  0  0  0  0  0  0  0  0  0  8  8  0  0  0  8  0  0  8  0  8  0  8  8  8  0  8  0  0  0  8  8  8  8
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  0  8  8  0  0  8  0  8  0  8  8  0  0  0  8  8  8  0  8  8  8  0  8  8  0  0  8  8  8

generates a code of length 61 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+51x^58+16x^59+145x^60+608x^61+134x^62+16x^63+45x^64+7x^66+1x^116

The gray image is a code over GF(2) with n=488, k=10 and d=232.
This code was found by Heurico 1.16 in 6.05 seconds.