The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  8  1  1 14  1  1  2  1  1  1  0  1  1  1  8  4  1 14  1  2  1  1  1 12  1  6  1  1  1 14  1 12  6  1  1  1 10  1  1  1  1  1  1  1  1  6  4  1  1  1  4  1  2  1  1  1  1
 0  1 11  6 13  1  8  7  1  1  1 10  3  1 12  5  1 14 15  1  0  2 13  1  4 14  9  1  1  3  1  5  1  3  8  2  1  1  1 12  7 14  1  9  1  1 14  1 15  1  5 15 14  7  8  1 13  2  1  1  8  6 11  2 13  1  5  5  2  1
 0  0 12  0  4  0  4  4  8  4  0  0  8  4  8  8  4  4  0  4  8  4  4  8 12  4  0  4 12  0 12  0  4  0  4 12  4 12  0  0 12 12  8  0  0  8 12  8  8  0  8 12  0  4  4  4  8  0  4 12  0  0  8  8  8 12  8 12  4  4
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  0  8  8  0  0  8  8  0  0  0  8  8  0  8  0  0  0  8  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  8  8  0  8  0  8  0  0  0  8
 0  0  0  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  0  8  8  8  0  0  8  8  0  0  0  8  0  8  0  8  8  8  0  0  8  8  0  0  8  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  8  0  0  0  8
 0  0  0  0  0  8  0  8  0  8  8  8  8  8  8  8  8  0  0  0  8  8  0  0  0  8  8  8  0  0  0  0  8  8  8  0  0  8  8  0  0  8  0  0  0  0  8  0  8  0  8  8  0  0  8  0  0  8  8  0  0  8  0  8  8  8  8  8  8  8

generates a code of length 70 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+151x^64+184x^65+648x^66+652x^67+1062x^68+820x^69+1200x^70+840x^71+1064x^72+656x^73+556x^74+172x^75+142x^76+4x^77+14x^78+6x^80+10x^82+2x^84+2x^86+2x^90+2x^92+2x^96

The gray image is a code over GF(2) with n=560, k=13 and d=256.
This code was found by Heurico 1.16 in 1.28 seconds.