What xcvr are you using ?? Switch amp to standby, then TX with a cxr, to what u used to drive the amp to 1300 watts. Measure the average PO. Then switch xcvr to SSB..and measure the pep output.
My guess is, you have a different output on the xcvr in CW / CXR mode, vs SSB mode, with more PO on ssb, hence the 1600w pep out on ssb.
BTW, if the amp is tuned to 1300 watts, it's NOT tuned for 1600 w pep. The load control is not high enough, and once tweaked for max pep out on ssb, it will read even higher than 1600w pep.