Oh I simply have meetings to attend I should be back in around 3ish hours, maybe less.
Here are the basic principles of what I guess.
1. First Guess every number +3 and then every number -3, this is a possible combination and feels likely at least one will pop up. If one of these results gives over 4 numbers, then you just move them around while making valid combinations and slotting in a fifth number.
2. Next think go for a group you think has the remaining numbers, if very few of the +3/-3 appear, then you know that there need to be a good number of +/- 4s or 5s, since the only combos that add up to 5 are 4/1,3/2 and 5/0 and the lack of 3s means the only high numbers can be 4s and 5s. You should only need to guess one of these, maybe 2. Always go for the one with the most different digits.
3. From these the number correct will tell you the digits, and the in the right place will tell you the rough composition of the sum so far. Then you just start shuffling around with a guess on what you think happened but be careful to not have contradictory ideas (i.e if you know 3 of the first guess are in there, don't guess 4 of those numbers).
It's not super well defined but that's the jist.