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The requirement to look ahead makes things a lot more complicated.

awk 'BEGIN { MAX=5000; getline; x=$1 }
((d=$1-x)>=MAX) { MAX=d; MAXNR=NR; L=10; }
((--L) == 0) {
...

If your output has nothing to do with the input shown, I can't guess much from it. :p With your explanation I think I get it now. If you see a spike, you want to print the line, then suppress any...

I'll try. First, here is the awk script in a slightly different form:
line 1 awk '
line 2 (NR>1) && (d=$2-x)>=100{print d,NR}
line 3 {x=$2}
line 4 ' file
The line numbers in blue are to make it...

Your step 3 makes no sense to me. If y-x is not >= 100, then (y+1)-(x+1) can't be >= 100 either. This will just create an very large loop until one of the values overflows. So, until you can...

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No flames,...