Could this planetary superalignment happen? Here's the 'superalignment' I'm referring to:

We've all heard the stories about 'mystical planetary alignments' that will increase/decrease the effective surface gravity experienced on Earth (one debunked here on snopes), sometimes referred to as 'Zero G Day'.
What I'm wondering is: what would be the maximum possible effect on a given weight (ratio of 'normal' weight to 'alignment' weight)?

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*Noon at a new moon, Venus and Mercury between the Earth and the Sun, Mars, Jupiter, Saturn, Uranus and Neptune across the sun in roughly a straight line (maximum lightness).

*Midnight during the same alignment (maximum heaviness - almost the same ratio, but 2 Earth radii further away from the planets and sun).

Also, how often (if ever) could this happen?
EDIT
I have calculated the resulting effects of this 'superalignment':

The result is that with the planets and our moon aligned as much as they can be to have their forces be additive, their gravity culminates in a $\pm0.06\%$ difference. Since I weigh 90kg, I would weigh 89.94 kg at noon and 90.05 kg at midnight.
Now, the last part of this question remains - would this superalignment, or something approximating this superalignment, ever occur, and if so would it be on a repetition and how often?
 A: SciShow covered this and their sources are in the video description.  It probably can't happen, but it depends on your tolerances.
Planetary alignments have a "quality" which is how far apart in the sky the planets are allowed to be and still considered in "alignment".  All planets lined up in a nice straight line from the Earth to the Sun?  Almost impossible due to the planets' movement above and below the plane of the ecliptic.  How about lining up in just two dimensions?  Also almost impossible, there are too many moving parts.
This source from the National Solar Observatory calculated the next time the planets will be aligned within 30 degrees is March 20, 2673 and the last time was Jan 1, 1665.  There's details in the article.
As for the effect on gravity, it will be inconsequential compared to the pull of the Moon and Jupiter.  Phil Plait did the math (so did NASA, but only for tides) and Jupiter only has 1% the gravitational influence as the Moon with the rest of the planets rapidly falling off into inconsequential amounts.  The position of the Moon and Jupiter will swamp any other gravitational considerations.
