Tyre pressure and diff noise

[VL-VP-VT]

hey guys, I have a GEN III WHII statesman and am trying to locate a rear end noise, would 15psi difference in rear tyre pressures cause an LSD to make clunking noises ?
the noise seems to be there most of the time but today it was really bad, I noticed that one tyre was much flatter than the other, left rear had 35psi right rear had 20psi ( I have now put them both at the same pressures - but haven't been for a drive yet ) as it's raining and I have the kids with me, so trying to hear noises at the moment would be a bit difficult)

To try and explain the noise, it is only there when rolling off from a standstill going in a straight ahead direction, I get about 3 - 5 clunks when rolling off from a standstill, it happens in both directions forward and reverse. I have no chatter when turning into carparks etc etc.
today it had the usual clunks but this time it was like ( clunk, clunk, clunk, CLUNK, Clunk)
as it clunks also it feels as the car surges or is restricted by the clunks, like something is grabbing, when I first noticed this i thought that maybe the handbrake shoes were not seated right or rear rotors were grabbing, so I replaced rear Pads with Bendix and backed the handbrake right off, but problem was still there.
I have jacked the rear of the car up and spun the wheels by hand, but can't seem to feel anything doing it this way, so I assume it is when it is under load

I have slight in and out movement in both CV axles (bearing wise they seem alright to me) and also pedders did a check on the car and said they should be fine. like always when pedders took it for a drive it wouldn't do it.

any help with this is greatly appreciated... I did do searches and can't seem to find any suitable answers..

please remember when answering that the DIFF is an LSD (limited slip differential)

[fossburger]

sounds similar to mine, but mine isn't LSD

[accentstencil]

I had a similar problem, changed the oil and put in the additive and the clunking stopped after a couple of days.
Edit: I just noticed this thread is a few months old and the problem has probably been rectified by now.