Solitaire of Nostradamus

Nostradamus resorted to the Solitaire of Ages to learn what is in store for the humanity. He calculated the dates for his predictions knowing that once in 2160 years the Great Mover renews the Ages.

The rules are easy to comprehend. Face eight columns of figures with digits 0 to 9 written randomly in each. Remove pairs of neighboring digits which differ in one. The major of them makes the tens, the minor is taken as units. These two-digit numbers are summed up to an important year in the human history. When no possible variants are left on the field, you receive the Chance of Ages. It is a possibility to remove any pair of subsequent numbers on the field. It is given only once, so choose wisely.