The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+250x^64+120x^65+648x^66+544x^67+1048x^68+856x^69+1220x^70+896x^71+1156x^72+552x^73+544x^74+96x^75+205x^76+8x^77+20x^78+17x^80+2x^84+6x^88+1x^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 2.4 seconds.