[RedDevil]

Hi, no I do not have the precise date, but it is 2012 and early 2013s, not a year later as I previously wrote - but you already know.

For reference, there is a lengthy thread on InsightCentral which really sets off from post 75 onwards: Anybody burning oil? - Page 28 - Insight Central: Honda Insight Forum

After an hour sifting through that I found Honda's Technical Service Bulletin addressing this problem is called TSB# 15-015.
Googling that lifts the lid from the you know.

As for what it takes to fix it there is this reference:
Engine Oil Consumption Exceeds Customer Expectations – 2012-2013 Honda Insight | oemdtc.com
to replace the piston rings with new spec ones that do not have the issue.

Honda's stance used to be to postpone the piston ring swap until the oil consumption exceeds a quart per 1000 miles, which seems late to me; IMHO that causes more damage than needed.
Many Insights that waited that long ended up needing a complete engine swap.

It does seem octane related; stick to high octane (US)91+ just to be safe.
Then, I read one case of a 2013 US Insight that only got top tier brand gas and nevertheless had this problem.
It did not say what octane the gas had though.