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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4  0 12  8  4  8  4  8  4  0 12  8  4  8  4  8  4  8 12  0  4  8  4  8  4  0  8 12  4  8  4  8  4  0 12 12  0  0  0
 0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  0  8
 0  0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  8  0  8  0  0  8  8  8  0  0  8  0  0  8  8  0  0  8  0  0  8  8  8  8  0  0  8  8  0  8  0  8  0  0  0  0  0  0  8  8
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  8  0  8  0  0  8  0  8  0  8  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  8  8  0  0  8  0  8  8  8  0  0  8  0  8  0  0  0  0  8  8  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  0  0  0  0  0  8  8  0  8  8  0  0  8  8  8  8  0  8  8  8  8  0  0  0  8  8  0  8  8  0  0  8  8  0  0

generates a code of length 70 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+10x^66+31x^68+128x^69+684x^70+128x^71+31x^72+9x^74+1x^76+1x^138

The gray image is a code over GF(2) with n=560, k=10 and d=264.
This code was found by Heurico 1.16 in 0.3 seconds.