Rules:
Normal Sudoku rules apply.
Normal Palindrome rules apply.
Grey squares must contain an even digit.
Normal Killer cage rules apply (i.e. the digits must sum up to the given total and must not repeat).
Prime constraint:
All digits in a killer cage must form a set of digits such that all digits in the set are pairwise coprime, i.e. any possible pair of 2 digits from the set cannot have a common divisor larger than 1 (for instance, a cage containing 1378 is allowed, as no possible 2-digit combination has an LCD larger than 1. But a cage containing 1379 would not be allowed, as a pair can be made of 3 and 9, whose LCD is 3 which is larger than 1).
The 16 cells forming a ring around box 5 form four groups of 5 cells that overlap in the corners. Each group adheres to the prime constraint, has no repeating digits, and occupies all the cells in the ring that share the same row or column (e.g. r3c3 up to and including r3c7 is one group, r3c7 up to and including r7c7 is another, etc). As a reminder, the start and end of each group have been denoted with arrows.
Solution code: Enter the digits of rows 2 and 8.