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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+148x^59+47x^60+248x^61+101x^62+632x^63+371x^64+1062x^65+385x^66+626x^67+75x^68+188x^69+17x^70+116x^71+11x^72+38x^73+7x^74+14x^75+6x^76+2x^78+1x^112

The gray image is a code over GF(2) with n=520, k=12 and d=236.
This code was found by Heurico 1.16 in 25.4 seconds.