The next minor palindrome date is on 22.8.22. This can only be found on the small date stamps in post offices that opens on Sundays (mall post offices). It is also coincidentally a minor ambigram date (i.e. looks the same when flipped upside down).
As a quick guide, Here are the other palindrome dates for the rest of the year:
22.11.22 (also minor ambigram)
As there are post offices that open 7 days a week and with a combination of different states, should be able to get most of them this year!