Unfortunately the warranty on 2005 and 2006 Insights is only 8 years/80,000 miles. Why they did this I'm not sure, but it does indeed suck.
People have indeed had luck with Honda helping them out, but usually only when they're only a little past the warranty. At 30k miles over, it may be a hard sell. It really just depends on the CSR you get, it seems...
It's definitely worth pursuing though.
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Insight #1 - Silver '01 5MT @
158,388 as of 7/11 - Best Tank: 84.5MPG over 807mi

Insight #2 - Silver '01 5MT @
450,000 as of 1/12 - Best Tank: 86.0MPG over 800mi

Insight #3 - Silver '00 5MT, MIMA #163P, BCM Gauge, OBDIIC&C Gauge, BetterBattery @
228,869 as of 1/12 - Best Tank: 78.4mpg over 687mi