The generator matrix

 1  0  1  1  1  4  1  1  2 14  1  1  1  1  1 14  1  2  4  1  1  1 12  1  6  1  1 10  1  6  1  1  1 12  1  1  1 12  1  2  1  1  1  1  6  1  1  2  2  4  2 14  1  6  1 14  1 10  1  8 12  1  1  1  1  1
 0  1  1  0 11  1 14 15  1  1  2 13 11  4  1  1  0  1  1  9 10  6  1  5  1  7  2  1 15  1  2  5 10  1  3  8 12  1 15  1 10  1 15  2  1 14 11 10 12  2 10  1  4  1  2  1 15  1 12  4  1  9  6  4 15  8
 0  0  2  6  0  2  4 14  2  4 14  0  0  6  8  8  0 10  2  6  2  0  8  6  4 14  0  6  2 10 10  4 14 12  2  8  4 10  0  8  2 12  4  8  4 10  4 10  6  2  6  6 10 12  4 12  4  4  8  2  2  2  0  2  0  8
 0  0  0 12  0  0  0  0  8  0  4  0 12  8  4  0  4 12 12 12  8  4  4 12 12  0  4  4  0  8  0  0  8  4 12  4  0  4 12  4  4  4  8  4  8  8  4 12  0  4  8  0  8  4  8  0  8 12  0  0  0 12  8  8  8  8
 0  0  0  0 12  0  8  8  8  0  0  4  0  4  0 12  4 12  4 12  4  4  4  4  0  4  0  0 12  4  8  8  8  4  0  8  4  0  4  0  4  4 12 12  4  8  0  4  8  4  0  8  8  0  4  8  0  4  4  8  4 12 12 12  8  4
 0  0  0  0  0  8  8  8  0  8  8  8  0  0  8  8  0  8  0  0  8  8  0  8  8  8  0  0  0  0  8  0  0  8  8  8  0  8  8  0  8  0  8  0  0  8  0  8  8  0  0  0  0  0  8  0  0  0  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+62x^57+256x^58+646x^59+1250x^60+2054x^61+3094x^62+5060x^63+7091x^64+8598x^65+9532x^66+8612x^67+6971x^68+5068x^69+3159x^70+1988x^71+1046x^72+488x^73+249x^74+126x^75+76x^76+42x^77+27x^78+10x^79+10x^80+8x^81+3x^82+4x^83+3x^84+2x^87

The gray image is a code over GF(2) with n=528, k=16 and d=228.
This code was found by Heurico 1.16 in 51 seconds.