You might care to look at
3JD08399 ParkingEye v Ms X. (Altrincham 17/03/2014). Fistral Beach. The defendant spent 31 minutes waiting for a car park space during the c...
Essentially, if you spent 4 minutes faffing around for reasons outside your control, there's no reason the extra 10 minutes shouldn't be covered by the mandatory grace period.
But you need to post the PCN and the contents of your appeal in order to get best advice. You should follow up with POPLA/IAS as appropriate - if it's still Parking Eye it will be POPLA.
Your initial post is too vague for anyone to be able to offer helpful advice. Please give us more to go on.
Of course, they’ll say that the grace period allows for the “faffing around” time, so you need to demonstrate why the 14 minutes is exceptional and outside your control.
If your appeal was ignored and you are unable to appeal to POPLA, you need to include this as part of a future county court defence, along with the other points we’ve mentioned.
If Parking Eye use DCB Legal for the court claim, it’s likely that the case will be discontinued before the court fee needs to be paid. Search the forum for many similar cases. As long as you stay on top of the paperwork and defend with support from people here, you’ll end up paying £0 in all likelihood.