The phrase "at weekends while" is correct and usable in written English.
It can be used to indicate activities or events that occur during weekends and simultaneously with another action or event.
Example: "I like to go hiking at weekends while my friends prefer to stay home and relax."
Alternatives: "on weekends when" or "during weekends as".
8. North Korea has three television channels - two of which are only available at weekends while the other can only be watched in the evening.
He also wrote and sang ballads, which he performed with other musicians in the streets at weekends, while working as a forklift driver at a steel factory.
Sailing had become a passion ever since he bought a boat to use at weekends while he was working on Blue Peter.
The report claims this way of working would allow patients to be discharged from hospital at weekends, while closer links between community and social care providers would enable greater continuity of care at home.
Staff often work until 11pm, even at weekends, while experienced case workers have been asked to help out with the more basic role of migrant registration, leading to further delays in the decision-making process.
Or there may be something in the Japanese caricature of the salaryman husband working long hours and socialising all night and at weekends, while his neglected, fretful wife struggles to bring up the children at home.Whatever the problem, it is not confined to Japan.
Then there are the Londoners' second homes in pretty villages, occupied only at weekends even while the locals are priced out.
The prank email on 1 April stated that, in a drive to improve work-life balance in a notoriously demanding industry, email would "not be transmitted" between 11pm and 6am, at weekends or while staff were on holiday.
"What actually happened was, I would go busking with my sister Sophie at weekends, and after a while I earned enough money to put towards something, and I decided I wanted to make a recording of my voice.
A round trip to Lamma Island, much nearer but also far busier at weekends, is roughly £2, while the island of Cheung Chau with its numerous seafood restaurants and hiking trails can be reached in 30 minutes for a similar price.
However, weekend exposure differs considerably which is plausible as children and adolescents spend most parts of the weekdays in school while at weekends they might spend more time at home or at different places.
