Question 637354
I count 64.

{{{drawing(900,900,-1.5,8.5,-1.5,8.5,

circle(0,0,.5),circle(1,0,.5),circle(2,0,.5),circle(3,0,.5),
circle(4,0,.5),circle(5,0,.5),circle(6,0,.5),circle(7,0,.5),
line(-.5,-.5,7.5,-.5),line(7.5,-.5,7.5,7.5),line(7.5,7.5,-.5,7.5),line(-.5,7.5,-.5,-.5),
circle(0,1,.5),circle(1,1,.5),circle(2,1,.5),circle(3,1,.5),
circle(4,1,.5),circle(5,1,.5),circle(6,1,.5),circle(7,1,.5),

circle(0,2,.5),circle(1,2,.5),circle(2,2,.5),circle(3,2,.5),
circle(4,2,.5),circle(5,2,.5),circle(6,2,.5),circle(7,2,.5),

circle(0,3,.5),circle(1,3,.5),circle(2,3,.5),circle(3,3,.5),
circle(4,3,.5),circle(5,3,.5),circle(6,3,.5),circle(7,3,.5),

circle(0,4,.5),circle(1,4,.5),circle(2,4,.5),circle(3,4,.5),
circle(4,4,.5),circle(5,4,.5),circle(6,4,.5),circle(7,4,.5),

circle(0,5,.5),circle(1,5,.5),circle(2,5,.5),circle(3,5,.5),
circle(4,5,.5),circle(5,5,.5),circle(6,5,.5),circle(7,5,.5),

circle(0,6,.5),circle(1,6,.5),circle(2,6,.5),circle(3,6,.5),
circle(4,6,.5),circle(5,6,.5),circle(6,6,.5),circle(7,6,.5),

circle(0,7,.5),circle(1,7,.5),circle(2,7,.5),circle(3,7,.5),
circle(4,7,.5),circle(5,7,.5),circle(6,7,.5),circle(7,7,.5) )}}}