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

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

Homogenous weight enumerator: w(x)=1x^0+94x^65+184x^66+190x^67+303x^68+442x^69+599x^70+664x^71+498x^72+410x^73+292x^74+156x^75+84x^76+22x^77+68x^78+40x^79+9x^80+24x^81+8x^82+6x^83+1x^84+1x^118

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 2.58 seconds.