The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^56+166x^57+365x^58+578x^59+892x^60+1804x^61+3120x^62+4852x^63+6916x^64+9064x^65+10078x^66+8976x^67+7086x^68+4856x^69+2906x^70+1748x^71+946x^72+482x^73+276x^74+130x^75+62x^76+68x^77+53x^78+32x^79+9x^80+8x^81+1x^82+4x^83+4x^84+1x^86

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 55.1 seconds.