So.
10.16 tons of fuel are enough since it's always in powered down mode (Pn-1, so 10Pn tons for 4 weeks is 10 tons) except for less than two hours per Jump.
And it works if you time it properly!
Give it 1.5 tons over the 10.16 fuel minimum.
Start with the tender backing away, and the XBoat spinning up its power plant. The power plant reaches it's full Pn-4 rating, the jump drive does it's thing, and then the power plant goes to idle at Pn-1.
Then you get to the critical part, and the reason you need a live pilot: The pilot walks over to the calendar on the bulkhead and
flips it to the next page.
That Pn-4 rate burn it started out with -- using maybe half a ton or so -- is
so last month. The pilot and his ship are in a
brand new month now, one where the power plant is running at Pn-1. A month in which it has 4 weeks of power plant fuel...
Timing is everything.
(Variations on this can be used for other exploits of the TCS power-down rule. But really, realizing that the rule's context includes a couple of weeks of flat-out acceleration makes more of a difference than this sort of semantic tomfoolery.)