I'm in the middle of recording a month's worth of pressures for my GP, but like you have had a few randomly high ones (much higher, though, like 160 for systolic, and similar, 95 for the other). Most of mine are in the 130s over 80s though, which is borderline. I wonder why they always ask you to take the lowest value, though - surely they need to know if you are occasionally getting high ones, as that would be the time you'd have a problem? So it's probably good if they know about the high ones. they won't prescribe medicine unless you have a lot of them, though. Even the average seems a bit false to me - unless people are more consistent than me, because I can range from 110 to 140 in one session of measurements, and it usually averages out to low 130s, but if there are quite a few high 130s and 140s, the odd 110 pulling it down is just distorting what might be an otherwise beginning hypertension situation.
So I find it all a bit confusing as to what measurements they really look at for deciding on medication. Even a 24-hour one doesn't really help if you are up and down - either it captures all of that and averages it out to normal, or it misses some of it and then they don't know about the high ones?!
Same thing with the fact that they always tell you to sit quietly, rest, be calm, think calm thoughts etc, when if you are the sort of person where it likely goes up a lot when you move or get stressed or do stuff, then wouldn't they want to know what it's like during those movements? It seems like they are trying hard to get a really good reading, and once they have that, it's all OK, even though that must be as inaccurate compared to your normal life as the random high ones are.
anyway good luck. Yours don't sound all that high to me - mine were well into the 140s when they first noticed it. I didn't have headaches from it even at that level.