Looking on the internet deeply has found these results:

I will go at next Tuesday night is the most popular phrase on the web.

I will go on next Tuesday night 1269,000,000 results on the web	I will go at next Tuesday night 1289,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Dersu and I will go on ahead. I will go on ahead to strike at the other three. Like dinner for two on your birthday next Tuesday night! I will go on my way About our marriage... Then I will go on dying for perhaps another 60 years. I will go on record as agreeing with Mr Walter. cholesterol diet. I will go on a low	Any crank claiming the sun will go out next Tuesday has got a testable prediction. I will go into hiding until just nine days before V Day when I will go to a car park in Denham. I will be there next Tuesday, Commissioner. I look forward to seeing you, along with Mr Brok and other parliamentarians, an issue I will come back to at the end. 45,100 I will go by back. We don't want to attract attention, so we three will go at a suitable time. Like dinner for two on your birthday next Tuesday night! Snipers are in place and will go at my ready. Now, the following Tuesday night, I will be going to a bonfire by the lake.

I will go on next Tuesday night

1269,000,000 results on the web

I will go at next Tuesday night

1289,000,000 results on the web

More popular!

Any crank claiming the sun will go out next Tuesday has got a testable prediction.
I will go into hiding until just nine days before V Day when I will go to a car park in Denham.
I will be there next Tuesday, Commissioner. I look forward to seeing you, along with Mr Brok and other parliamentarians, an issue I will come back to at the end.
45,100 I will go by back.
We don't want to attract attention, so we three will go at a suitable time.
Like dinner for two on your birthday next Tuesday night!
Snipers are in place and will go at my ready.
Now, the following Tuesday night, I will be going to a bonfire by the lake.