Find a set of four consecutive six digit numbers which satisfies the following:

- The last four digits of the first (smallest) number form a palindrome.
- The last five digits of the second number form a palindrome.
- The second through fifth digits of the third number form a palindrome.
- The fourth (largest) number is a palindrome.

The required set of four consecutive six digit numbers that satisfy all the given conditions as arranged in decreasing order of magnitude is: {198891, 198890, 198889, 198888}