So a bit late but i guess better than never.
The test supercapacitor is a 25 uF 2.7v Cooper Bussman HV series capacitor:
http://www.cooperindustries.com/content/dam/public/bussmann/Electronics/Resources/product-datasheets/Bus_Elx_DS_4376_HV_Series.pdfHV1625-2R7256-R : 25F 2.7v 0.027 ohm max esr @ 100hz, 45 uA leakage , 16x25
This particular supercapacitor stayed on my workbench unused for maybe a couple of weeks and the temperature was around 16-18c, because i left a window open by the workbench for some time (saying it in case it matters below).
Logging is done with Uni-T UT61E, data export made by UltraDMM. The UT61E does 2 readings per second and has a 10Mohm input impedance on DC voltage and 0.1% accuracy (+/- a few counts)
The supercapacitor was charged to about 2.684v using an adjustable linear regulator, then I simply disconnected it from the regulator and connected it to the multimeter leads.
Initially, I set up a laptop a the serial to usb adapter and i rushed to start the test and simply downloaded the default uni-t dmm software that was on the english version of the site. It was probably an old version, because about 20-30 minutes after starting the test the software crashed.
Thinking it may have been the screensaver or some other feature of the laptop, I recharged the supercapacitor and disabled power related stuff and left it running again only to find that it crashes again by itself.
Now what I did notice is that the supercapacitor was discharging up to around 2.21v when the software crashed.
So I installed UltraDMM, recharged the capacitor to 2.684v (or around that value) and again left it logging.
Software doesn't crash this time but what's interesting is that about 3h 20 minutes hours later, the supercapacitor still reported about 2.34v.
I don't know why the supercapacitor discharges much slower now, I can only assume the two semi-discharge/charge cycles and the room/workbench temperature increase (workbench and capacitor measures ~ 22.4c with an infrared temp sensor) contributed to this.
I'm attaching a first set of raw readings and a smaller ods datasheet with the pretty chart below:

I'll leave the laptop and multimeter logging for a few hours more, right now the supercap is at around 2.291v (at 20:42, last timestamp in attached file is 18:56 with a 2.348v reading) ...
offtopic libreoffice calc is painfully slow at doing such graphs with lots of values, takes 20-30s on an eight core cpu to plot 30k points... sigh.