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

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

Homogenous weight enumerator: w(x)=1x^0+202x^64+280x^66+812x^68+1656x^70+712x^72+208x^74+140x^76+24x^78+40x^80+8x^82+8x^84+4x^88+1x^128

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 1.44 seconds.