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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+74x^65+205x^66+222x^67+164x^68+490x^69+429x^70+1028x^71+379x^72+500x^73+196x^74+130x^75+91x^76+82x^77+57x^78+24x^79+4x^80+6x^81+6x^82+4x^83+1x^84+2x^86+1x^122

The gray image is a code over GF(2) with n=568, k=12 and d=260.
This code was found by Heurico 1.16 in 87.3 seconds.