Countif Formula copied down where the range changes based on subgrouping

I have data that is pulled every week and subgrouped based on Count, and I have to do the following function in multiple columns in the new spreadsheet every week.....

=COUNTIF(G2:G8,">=0:16")

I need to copy this down the entire column (upto 1500 rows) every week, where the rows are subgrouped based on the client name in column A

In the attached file:
column H shows the result that I'm looking for from G - using the formula above
I really don't want to have to change the range over 100 times every week.

Ideas? I tried using a different formula that I am using for something else....
=IFERROR(SUM(IF(FREQUENCY(IF(ISNUMBER(SEARCH(" Total",A2)),IF(SUBSTITUTE(A2," Total","")=$A$2:$A$64,INT($E$2:$E$64),""),""),IF(ISNUMBER(SEARCH(" Total",A2)),IF(SUBSTITUTE(A2," Total","")=$A$2:$A$64,INT($E$2:$E$64),""),"")),1,0)),"")

but couldn't figure out where the countif formula goes.....

Craig,
My excel tells me there are too many arguments - it doesn't like the A:A (actually the second A list there). Carol

Try this in H2 and copy down

=IF(ISNUMBER(SEARCH("total",A2,1)),COUNTIFS(G:G,">=0:16",A:A,A1),"")

That works John! Thanks!

Thanks in part to Craig: I added to his solution.

Thanks John - I added Reps to both of you

Craig - I thought I had copied/pasted and changed the range to what I needed in my actual spreadsheet, but it is possible that I manually typed it and missed the "s" all together. That would make sense, then that it didn't work. Unfortunately, I am multi-tasking with numerous spreadsheets to try and extract all the data I need, and I simply don't recall for certain. I really do appreciate the assistance please do not think for a minute that I don't.