The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^57+731x^58+2098x^59+4589x^60+8032x^61+13759x^62+20966x^63+28135x^64+33432x^65+36664x^66+35270x^67+29116x^68+20910x^69+13627x^70+7676x^71+4037x^72+1716x^73+789x^74+308x^75+101x^76+54x^77+22x^78+2x^79+5x^80+6x^81+6x^82+4x^85+2x^86

The gray image is a code over GF(2) with n=528, k=18 and d=228.
This code was found by Heurico 1.16 in 604 seconds.