Between the 60 and the D6 there was the RD6 so it could have been around 6 tons. The designation numbers likely originated based on the actual weights but as stated above the weights got heavier over time.
All I know about the Herc's payload is they could lift a D7. The newer versions could likely heft a little more.
Here's a pic of a wartime D7 and a Clark airborne dozer in approximately the same scale. This is a lot like comparing pigs and chickens!
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1940 Cab 11 C8 Wireless with 1A2 box & 11 set
1940 Cab 11 C8 cab and chassis
1940 Cab 11 C15 with 2A1 & Motley mount & Lewis gun
1940 Cab 11 F15A w/ Chev rear ends
1941 Cab 12 F15A
1942-44 Cab 13 F15A x 5
1942 cab 13 F15A with 2B1 box
1943 cab 13 F15A with 2H1 box
1943 Cab 13 C8A HUP
1944 Cab 13 C15A with 2C1 box
1943 Cletrac M2 High Speed Tractor
MkII Bren gun carrier chassis x 2
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