The generator matrix

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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+252x^59+530x^60+1222x^61+1738x^62+3158x^63+3195x^64+4574x^65+3614x^66+4892x^67+3132x^68+2938x^69+1484x^70+960x^71+453x^72+308x^73+132x^74+88x^75+44x^76+28x^77+7x^78+10x^79+5x^80+2x^81+1x^86

The gray image is a code over GF(2) with n=528, k=15 and d=236.
This code was found by Heurico 1.16 in 13.1 seconds.