The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2 12  2  0  1  1  0  1 12  2  1  2  2  2  1 12  2  1  1  2  8  2  1  1  1 12  1  1  2 12  1  2  1  2 12 12  1  1  1  1
 0  2  0  2  0  0  2 10  8  0  6  6  4  2  2 12  0  4 10  2  4  6 10 12  0  8 14  2 14  2  2  8  8 14  4 10  6 12  6 12 10  2 14  2  8 10  2  2  6  2  0  2  8 10  2  2  6  4 12  6  2  4  6  0  4  8
 0  0  2  2  0  6 10  8  6  4  6 12 12 12 14  2  0  4  6 12  6  8 14 14 14  6 12 12 14 14  0  4  2 14  2  0 10  2 14 10 12  8 12 14  2 14  6  8  2  0 12  8 12  4  2  6 14  6  2  8  4  2  8  2  2  8
 0  0  0  4  0  0  4  0  0  0 12  0  0  0  4  8  4 12  8 12 12  4  8 12  4 12  8  4  0  8  4  4  4  8  0 12  0  8 12  0  4 12  0 12 12  0  8  4 12 12  8  8  8 12  4  0  4  0  4  4 12 12  8  0 12  0
 0  0  0  0 12  0 12  4  4  4 12  4  8  0  8 12  4  4  8  0 12  4  4  8 12  8  0  0 12  0 12  0  4  4  4  4  0  4 12  8  8  4  4 12  4 12  8  0  8 12  4  4  4  4  0  4  4 12  8  8 12  0  8 12  8  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  0  0  8  8  8  8  0  8  8  0  8  0  0  0  0  0  0  0  8  8  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  0  8  8  0  8  8  0  8  8  0  0  0  8

generates a code of length 66 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+70x^57+283x^58+376x^59+983x^60+1128x^61+1781x^62+2400x^63+3301x^64+4248x^65+3796x^66+4268x^67+3306x^68+2440x^69+1710x^70+960x^71+827x^72+334x^73+274x^74+104x^75+82x^76+32x^77+24x^78+16x^79+11x^80+4x^81+3x^82+4x^83+1x^84+1x^86

The gray image is a code over GF(2) with n=528, k=15 and d=228.
This code was found by Heurico 1.16 in 20.4 seconds.