The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^58+300x^59+544x^60+1160x^61+1645x^62+2858x^63+3130x^64+4790x^65+4152x^66+4524x^67+3288x^68+2856x^69+1374x^70+1056x^71+416x^72+288x^73+166x^74+56x^75+36x^76+24x^77+17x^78+6x^79+9x^80+2x^81+6x^82

The gray image is a code over GF(2) with n=528, k=15 and d=232.
This code was found by Heurico 1.16 in 13.5 seconds.