"while supporting" is a correct and usable part of a sentence in written English.
You can use "while supporting" to explain an ongoing action. For example, "He worked tirelessly while supporting his family."
The carbon price was working as intended: reducing carbon emissions while supporting continued economic growth.
Costs can never be contained while supporting bloated private bureaucracies and for-profit medicine.
"While supporting him, they also put him in the role of spokesperson instead of artist".
I can do this while supporting smart policies that ensure clean air and water.
"My management style is to throw people in at the deep end, while supporting them.
But other studies, while supporting the findings, have identified some limitations.
The flood of foreign money helps to keep interest rates low while supporting the dollar.
His brand of comedy gained wider exposure while supporting Rik Mayall's sell-out UK tour.
Alternatively, you could buy books while supporting your favourite news website by clicking here.
Mr. Ashcroft passionately opposes gun control and abortion while supporting big tax cuts.
