I have the following:

I am using @BigBobby's answer to achieve this:
Sub MoveData()
Range("H5:H99").ClearContents
START_ROW = 5
START_COL = 1
STEP_COL = 2
OUTPUT_ROW = 5
OUTPUT_COL = 8
Limit_Col = 9
Row = START_ROW
Col = START_COL
Out_Row = OUTPUT_ROW
While Col < Limit_Col
While Cells(Row, Col).Value <> ""
Cells(Out_Row, OUTPUT_COL).Value = Cells(Row, Col).Value
Out_Row = Out_Row + 1
Row = Row + 1
Wend
Row = START_ROW
Col = Col + STEP_COL
Wend
End Sub
But as you see, I expect to get those values which appear after a blank cell in the columns. But this code fails to pull those cells highlighted in yellow.
How to modify this code to pull all of the data which may appear after one or several blank cells?