Once you enter your Code AH, you'll get a follow up screen with "boxes" that you need to match up with the amounts reported on your supplemental statement. Anything that doesn't fit one of the "specific" boxes is entered at the bottom of that screen in the "Other Description Enter Below" boxes. Note that for these "Other Description" boxes, many of these items are very rare and are not handled automatically by the program. Use the instructions supplied by the partnership or contact the K-1 preparer to determine if you need to manually enter items on a form or schedule.
Because you have numerous AH entries, you may need to enter additional K-1s into TurboTax to accomodate all the AH information you need to enter.