Your ban was not for using the F3 debug menu to view your coordinates to check for diamond level. That is not and has not ever been a violation of our rules. Rather, given the evidence left behind by your diamond breaks, we find your claim that you did not have an X-ray program or resource pack to be difficult to believe. Though many of your breaks were of exposed diamond veins found in diamond-level caves and abandoned mineshafts, the rate at which you were finding diamonds, coupled with certain highly suspicious breaks, leaves us believing your digging habits and predisposition towards caving are merely a front to disguise your use of x-ray to easily identify diamonds you can collect without leaving too obvious a trail... except for when you succumbed to greed, your sense of caution dulled by easy profit.
Let us observe, in reverse chronological order:
Break #1, in which you perfectly swerve around a lava pocket in order to collect a diamond vein completely buried in stone. I noticed at many other dead ends in these mineshafts, you would dig a short ways inward... so why, then, did you happen to go so much further for this one, and break away from your route?
Break #2, in which you punch straight through a wall to reach a portion of this mineshaft which was completely sealed off, conveniently with an exposed diamond vein.
Break #3, in which you come across a dungeon that has long since been plundered, with nothing left of interest, but decide to dig under then up to a hidden diamond vein buried in stone behind it.
Break #4, in which you suddenly decide to stop caving in order to dig straight towards a diamond vein. Upon finding the diamond vein, you proceed to check a short ways in each direction for no real reason... except for the fact you just so happen to go much, much farther in the direction that leads straight to another diamond vein. More of the same at Break #5 and Break #6, where you again decide to suddenly dig into unremarkable cave walls directly towards buried diamond veins, making it extremely unlikely you are simply getting lucky.
Based on the evidence, we have reason to believe you are not being forthright with us, and as such your appeal will not be considered without either evidence to the contrary or an admission of wrongdoing.
Let us observe, in reverse chronological order:
Break #1, in which you perfectly swerve around a lava pocket in order to collect a diamond vein completely buried in stone. I noticed at many other dead ends in these mineshafts, you would dig a short ways inward... so why, then, did you happen to go so much further for this one, and break away from your route?
Break #2, in which you punch straight through a wall to reach a portion of this mineshaft which was completely sealed off, conveniently with an exposed diamond vein.
Break #3, in which you come across a dungeon that has long since been plundered, with nothing left of interest, but decide to dig under then up to a hidden diamond vein buried in stone behind it.
Break #4, in which you suddenly decide to stop caving in order to dig straight towards a diamond vein. Upon finding the diamond vein, you proceed to check a short ways in each direction for no real reason... except for the fact you just so happen to go much, much farther in the direction that leads straight to another diamond vein. More of the same at Break #5 and Break #6, where you again decide to suddenly dig into unremarkable cave walls directly towards buried diamond veins, making it extremely unlikely you are simply getting lucky.
Based on the evidence, we have reason to believe you are not being forthright with us, and as such your appeal will not be considered without either evidence to the contrary or an admission of wrongdoing.