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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+167x^64+148x^65+361x^66+264x^67+927x^68+532x^69+1450x^70+688x^71+1424x^72+508x^73+804x^74+264x^75+255x^76+156x^77+132x^78+57x^80+23x^82+10x^84+14x^86+6x^88+1x^104

The gray image is a code over GF(2) with n=568, k=13 and d=256.
This code was found by Heurico 1.16 in 2 seconds.