The generator matrix

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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+153x^58+358x^59+1050x^60+2048x^61+4066x^62+4850x^63+7689x^64+7432x^65+9782x^66+8086x^67+8164x^68+4696x^69+3715x^70+1710x^71+971x^72+384x^73+184x^74+92x^75+37x^76+24x^77+15x^78+8x^79+7x^80+8x^81+5x^82+1x^84

The gray image is a code over GF(2) with n=528, k=16 and d=232.
This code was found by Heurico 1.16 in 40.1 seconds.