C310 PLT MADE THE PROPER READBACK; BUT RECEIVED NO RESPONSE FROM TPA TWR UNTIL THEY CALLED TO TELL HIM HE OVERSHOT HIS ASSIGNED ALT.

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WHILE CONDUCTING PRACTICE ILS APCHS TO RWY 17L; I RPTED OM INBOUND TO TWR. TWR ASKED MY INTENTIONS AFTER THE ILS. I INDICATED THAT I WOULD RETURN TO MY HOME BASE; OCF. TWR TOLD ME TO TURN TO HDG 270 DEGS AND CLB TO 2600 FT AFTER MY LOW APCH (AT LEAST THAT'S WHAT I THOUGHT HE SAID). I READ THE HDG AND ALT BACK TO THE TWR; BUT THE TWR NEVER ACKNOWLEDGED THE READBACK. THE CTLR WAS VERY BUSY WITH TFC. AFTER MY LOW APCH; I TURNED TO HDG 270 DEGS AND CLBED TO 2600 FT. I RPTED IN THE TURN AND CLBING TO 2600 FT TO TWR. TWR REPLIED WITH A TFC RPT. AS I REACHED 2200 FT; THE TWR ASKED MY ALT. I RPTED 2200 FT FOR 2600 FT. HE STATED THAT I WAS ONLY CLRED TO 1600 FT AND TO RETURN TO 1600 FT; WHICH I DID. I INDICATED THAT I THOUGHT I WAS CLRED TO 2600 FT AND STATED IT TWICE DURING THE APCH AND THE MISSED APCH. HE TURNED ME OVER TO TAMPA DEP AT THAT POINT. LOOKING BACK IN RETROSPECT; WHAT I SHOULD HAVE DONE WAS TO SPECIFICALLY ASK THE TWR TO CONFIRM THE HDG AND THE ALT; BUT I THOUGHT THAT READING IT BACK TWICE WAS ENOUGH. NOT SO! FROM NOW ON; I WILL REQUIRE A CONFIRMATION OF ALL HDGS AND ALTS.