How the job is done
Punctures on the M40: repaired properly, or replaced with a straight answer.
On the M40 the first question after a puncture is what kind of tyre is fitted. A conventional tyre, stopped promptly at Beaconsfield or Oxford services with a screw in its central tread, is a strong candidate for repair. A run-flat that kept going after losing pressure is not: its stiffened sidewall has been crushed and heated, and manufacturers treat it as scrap. Knowing which kind you have saves a wasted trip out along the A40.
Once the car has left the motorway, the tyre is dismounted and its liner inspected. Holes of 6 mm or less, placed inside the tread's middle three-quarters, receive an internal plug-patch to BS AU 159. Anything on the shoulder, anything in the sidewall, or a run-flat that ran empty needs replacing, and the new tyre can go on during that stop. Both possible costs are given on the phone.
Related help from the same Brent Cross team covers 24 hour tyre service on the M40 and emergency mobile tyre fitting on the M40.