I do use HC110 almost exclusively, but have shot very little Tmax. I do not pre-wet; I invert maybe a dozen times or so for about the first 30 seconds, accompanied by a thump or three on the table to dislodge bubbles. I then do about four inversions (~5 sec) every minute. I rotate the tank about one third between each inversion.
In fixer I tend to agitate more continuously, albeit not as rapidly -- maybe an inversion every five seconds. I assume TF-4 is a rapid fixer, as the old traditional hypo will likely take upwards of ten minutes.
To me, five minutes sounds short for a wash unless you also use a hypo clear bath. Kodak describes 20 to 30 minutes. I usually wash twenty minutes -- but that is usually longer because I wander off and forget ...