The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+18x^64+144x^65+352x^66+342x^67+442x^68+496x^69+586x^70+486x^71+447x^72+296x^73+260x^74+122x^75+49x^76+24x^77+16x^78+10x^79+1x^80+1x^92+2x^94+1x^104

The gray image is a code over GF(2) with n=560, k=12 and d=256.
This code was found by Heurico 1.16 in 0.436 seconds.