Without Complex formulas or macros here's what I did and it only takes a few minutes.
On Sheet2, set up your column headers, "Cycle, etc." I did this starting in A2.
On Sheet1, Highlight column D (or C) and autofilter on Nonblanks. Copy and paste this data directly to B3 on Sheet2
On Sheet2 starting in A3 and dragging down, use an INDEX formula to find the appropriate cycle time that goes with your MIN.
Copy and paste special >values to remove the formulas from that row if desired.
Questions? Does this work for you?
ChemistB
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