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  1  2  1  1  4  2  1  1 12  8  2  1  1  2  0  1  1 12  1  1  1  2  2  1 12  1  1  2  1  1  1  1  2  1  2  2  1  1  2  4  1
 0  2  0  2  0  0 14  6  4  2  4 14 12  6 12  2  0  4 12  8  0  6  6  2 14  2  6  6 10  2 10 14  2  2  0 12  0  8 10  2 12  8  2 14 10  6 10  6 10  2  8  8 12  2 14  8  6  2  4  4 10  8  8  0  2  0
 0  0  2  2 12  6 14  0  4  6  2 12  0 10  6 12  8  2  0  2 12  0 12  2 10 14  0  4 12  6 10  6  4 10  2 14  2  6  4  4  8  4 14  0  2  0  6  6  2  0  8  8  2  6 14  8 10 12  4  2  2 10  2 14 10 10
 0  0  0  4  0  0 12  8  8 12  0  0  8  4  0  8  0  0  8  0  0  0  8  0  0  8  8  4 12 12  4  8  4 12 12  4  4  4  4  4  4  4  0  4  0 12  8  0  4  8  4  8 12 12  0 12  0  8  8  0  4  4  4  4  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  8  8  0  0  8  8  8  8  0  8  8  0  0  0  8  8  0  8  0  0  8  0  8
 0  0  0  0  0  8  0  8  8  8  8  0  0  8  0  8  8  8  8  0  0  0  8  0  8  0  0  8  0  0  0  8  8  0  8  0  0  0  8  8  0  8  8  0  0  8  0  0  8  0  8  8  0  0  8  0  0  0  8  0  0  8  0  8  0  8
 0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  8  8  8  0  0  0  8  0  8  8  0  0  8  0  8  8  8  0  8  8  0  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+66x^57+341x^58+374x^59+898x^60+740x^61+2032x^62+1718x^63+4259x^64+3290x^65+5402x^66+3234x^67+4471x^68+1740x^69+1871x^70+708x^71+795x^72+278x^73+300x^74+94x^75+65x^76+24x^77+37x^78+14x^79+4x^80+6x^81+1x^82+2x^83+2x^84+1x^96

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 21.8 seconds.