The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^57+303x^58+544x^59+1311x^60+1760x^61+3688x^62+4610x^63+7657x^64+7862x^65+9920x^66+7948x^67+7786x^68+4660x^69+3689x^70+1598x^71+1063x^72+444x^73+292x^74+122x^75+98x^76+34x^77+27x^78+24x^79+3x^80+8x^81+1x^82+2x^83+1x^84+2x^85

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 50.7 seconds.