My BT6-083 [Eosmon] was played, then this card's [All Turns] effect and another effect triggered simultaneously. If another effect activates and the DP of my played BT6-083 [Eosmon] changes from 4000 to 5000, then I activate this card's [All Turns] effect, what is the DP of Digimon I can delete?
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Official Ruling
5000 DP or less. If the same reference to a "played" trigger condition being performed isn't being made for an effect when it has a "when X is played" trigger condition, the state when the effect is processed will be referenced. In this case, processing was performed when your BT6-083 [Eosmon] had 5000 DP, therefore you can delete a Digimon with 5000 DP or less.
Source: BT17-076 Eosmon