The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  1  1  0 10  1  1  1  1  1  1  1  1  1  1  1  1  8  2 12  6  4 14  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  6  3  9  1  1 12 15  5 14 10  8  4  2 11  1  7 13  1  1  1  1  1  1  0  8 14 14  8  6 12 10  4  4  2  6  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  0  0  8  8  0  0  0  8  8  0  8  0  8  8  0  8  0  8  0  0  8  0  8  8  8  0  0  0  8  0  8  8  8  0  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  8  0  0  8  0  8  8  8  0  0  8  0  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  8  0  0  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+2x^58+344x^59+60x^60+208x^61+60x^62+344x^63+3x^64+2x^90

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 0.11 seconds.