The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+32x^57+110x^58+188x^59+259x^60+400x^61+656x^62+830x^63+1106x^64+1244x^65+1003x^66+856x^67+566x^68+322x^69+252x^70+140x^71+93x^72+42x^73+20x^74+28x^75+15x^76+6x^77+4x^78+6x^79+6x^80+2x^81+3x^82+1x^88+1x^96

The gray image is a code over GF(2) with n=520, k=13 and d=228.
This code was found by Heurico 1.16 in 1.62 seconds.