Have you ever flied with multiple ozempic pens(unopened new box)?

I have flied with 1-2 pens so far for holidays but I am immigrating from Japan to the UK soon. I have been on lower dosage of Ozempic for about 1y now and I would like to bring as many pens I can from my current location as I will need enough time to settle and find new clinics etc there.

Ideally I want to carry like 10pens in a small carry ice pack. Does anyone have any suggestions or experiences?