A LNDG B767-300 CREW EXPERIENCED A SKIDDING NOSE WHEEL DURING A TURN TO EXIT A WET RWY. CREW SUSPECTED AN AFT CG CONTRIBUTED TO THE CTL LOSS.

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UNEVENTFUL APCH AND LNDG ON RWY 6L IN ZZZ. FO'S LNDG. I TOOK OVER TAXI BELOW 60 KTS. TAXIED TO THE END TO CLR RWY ON THE R. ALTHOUGH I FELT I WAS SLOW ENOUGH FOR THE TURN; THE NOSEWHEEL STARTED TO SKID ON THE WET PAVEMENT (RAIN HAD JUST PASSED OVER THE FIELD). I BRAKED AGGRESSIVELY; THE ACFT TURNED; AND WE WERE ABLE TO CLR THE RWY AND CROSS RWY 6R. THE REILS HAD DISAPPEARED FROM MY VIEW DURING THE TURN; SO AFTER CLRING THE RWYS; I ELECTED TO HAVE ARPT PERSONNEL CHK OUR L MAIN AND NOSE TIRES; AND THE REILS FOR DAMAGE. THEY FOUND NONE; SO WE TAXIED TO THE GATE. THE FO HAD NOTED THAT ON TKOF AND LNDG; THE ACFT ACTED AS IF IT HAD A MORE AFT CTR OF GRAVITY THAN NORMAL. THE NOSE POPPED UP QUICKLY ON TKOF; AND HE SAID HE HAD TO APPLY MORE THAN NORMAL FORWARD PRESSURE ON THE YOKE DURING ROLLOUT. WE SUSPECTED THIS; ALONG WITH A WET PAVEMENT; MIGHT HAVE SOMETHING TO DO WITH THE SKIDDING OF THE NOSE GEAR; SO WE REQUESTED THAT THE CARGO PERSONNEL DO AN OFFLOAD CHK TO VERIFY THE LOADING. WE CHKED THE GEAR AND TIRES AFTER PARKING AND FOUND NO DAMAGE.