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 12  6  1  1  1  1  1  1  1  1  8 14  4  2  1  1  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  1  1 10  8  4  2 11 13  7  1  1  1  1  1  0 14  8 14  8  6 12  2  4 10  4  2  8 14  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  0  8  8  0  8  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  0  0  0  8
 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  0  8  8  0  0  8  8  8  0  0  8  0  8  0  0  8  8  0  8  0  0  8  0  8  8  0  0  8  8

generates a code of length 63 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+272x^61+126x^62+224x^63+127x^64+272x^65+2x^94

The gray image is a code over GF(2) with n=504, k=10 and d=244.
This code was found by Heurico 1.16 in 0.155 seconds.