The generator matrix

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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+119x^56+36x^57+496x^58+312x^59+1301x^60+1716x^61+3506x^62+4716x^63+6729x^64+9472x^65+8847x^66+9588x^67+6310x^68+5144x^69+3578x^70+1460x^71+1226x^72+268x^73+372x^74+52x^75+147x^76+4x^77+84x^78+36x^80+13x^82+2x^84+1x^88

The gray image is a code over GF(2) with n=528, k=16 and d=224.
This code was found by Heurico 1.16 in 54.8 seconds.