.. I bought a string meter to see what tension I got after restring. I did one today and find that it shows my string tensions in the center are lower than those around them, I wonder if there is something I did wrong when I restring? For this racquet, I tried to tension them at 58lb, and it turns out the center 4 strings only got around 50lb, and the rest of them are at 58lb.
I am assuming that you strung yourself and you measured the 16 or 18 main strings with SM after stringing.
First keep in mind that the smallest unit on a SM is 5 lbs. So any reading you get is + or - 2.5 lbs.
I use SM regularly on all my sticks that I strung. And I observed a bunch of stuff but I will focus on your question.
I often observed a lower SM number on the center left or right, I forget which at this instance, probably because of the starting sequence/procedure and how my d/w tension head is at a slight angle to the center of the turn table/racquet mount.
If I string same tension across the 16 main, for examples, the center 4 or 6 ALWAYS came out less than the outside main, because the centers are longer. If you are OCD, you can check with SM before installing the cross strings and get another set of 16 numbers to observe without the effect of weaving.
Because I want to achieve a more even SM number, which generally gives a more forgiving stringbed, I use an JET/JayCee inspired method by dropping # 4, 5, 6 by 3 to 4 lbs, and the SM numbers are much more even.
Without going to a full proportional stringing or Sergetti, which requires measuring the string length for each string and changing pulling tension almost for every other string, I get a pretty decent/similar effect. Yes, I have used my own spreadsheet to calculate the pull tension for the proportional for comparison. They were good but I get nearly as good with this simple dropping 3 to 4 lbs on the side mains.
These SM number, center 12, came out of a recently strung Prince Triplethreat Warrior OS: 37, 37, 36, 40, 38, 35 | 38, 37, 37, 35, 38, 38. The pulled tension was from the center: 52, 52, 50, 48, 46, 46
I think the tracking/documenting your stringing practice and checking with SM is a good solid way to learn to improve one's stringing practice. Good luck!
There are good advices and opinions out there, but data and figuring out what the data says is priceless.