I've used TVH with the PCTV 290e DVB-T2 (HD) tuner without problems on a number of systems, including an ageing dual-core HP laptop running Kubuntu 15.10.
On the Pi 2, although everything works, I get frequent video glitches (every few minutes or more). Mostly, there is massive pixellation lasting a couple of seconds, or the lower third of the screen turns green momentarily. I'm not getting these problems on the SD tuners.
I'm using separate 2A power supplies for the Pi and a powered hub, with the latter powering the tuner, and I don't get any low-voltage warnings.
The video artefacts seem to coincide with Continuity Counter Errors on the H.264 and the AAC streams, (though mainly the H.264). Over the space of 5 minutes, I can see roughly 140 CC Errors on the H.264 stream, and 10 on the AAC stream.
I've tried both OSMC and OpenElec, (latest versions of each), and both give similar problems, though OSMC seems to give more errors than OpenElec.
In contrast, using TVH with Kubuntu on the HP notebook gives very few errors, and only very occasional video glitches.
I'm running TVH 3.9.27. On Ubuntu I'm running TVH 4.1. (These just happen to be the versions in the repositories).
I suspect that the problem may be due to the DVB-T2 tuner driver software, (which, for the PCTV 290e, is in the kernel). Either that, or the Pi just can't cope with the HD stream rate?
Any help or advice would be greatly appreciated.