The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^58+272x^59+1266x^60+2042x^61+4017x^62+4796x^63+7917x^64+7338x^65+10095x^66+7930x^67+7619x^68+4698x^69+4011x^70+1654x^71+1081x^72+326x^73+221x^74+90x^75+27x^76+28x^77+12x^78+6x^79+9x^80+4x^82+4x^83

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 40.4 seconds.