I don't think Evohome is designed for controlling a heat pump system, so you are probably trying to hammer a round peg into a square hole.
The problem with trying to set the minimum on time to 10 minutes in a 20 minute cycle is that any heat demand that is less than 50% (10 minutes out of 20) is NOT going to trigger your heat pump on at all, as the minimum on time also acts as a demand threshold.
This would totally wreck the proportional control of the system under a light load, and probably result in rooms dipping well below set points before the heat pump comes on. (Probably why it doesn't let you set the minimum on time this high...)
I've discussed this high minimum on-time issue in another thread recently in relation to using 12 cycles an hour where the 1 minute minimum on time corresponds to a 20% heat demand, and even that is problematic in low heat demand situations in my testing.
If you're totally set on having 10 minute minimum on-time I have another suggestion for you though that might work, put a pump overrun timer between the BDR91 and your heat pump. I use the following timer on my system as an external pump overrun timer, and it would be suitable configured in resetting mode:
https://www.cpelectronics.co.uk/ener...mers/mrt16-rem
In resetting mode as soon as the BDR91 switched on the timer will switch on the heat pump. When the BDR91 switches off the timer will start counting and keep the heat pump on for an additional X minutes before going off. Effectively it will "stretch" the minimum on time of each cycle. The delay time can be adjusted all the way from a few seconds to about 2 hours. (I have mine set to 12 minutes to be slightly longer than the default 10 minute TPI cycle so my pump doesn't stop unless there is zero demand)
So you could achieve your 10 minute minimum on time by setting Evohome to 5 minutes and the timer to 5 minutes, or you could set Evohome to 1 minute and the timer to 9 minutes etc.... While the minimum run time would be the same in both cases the overall system response to changes in heat demand would be different because in the first case you would need a 25% heat demand (5 minutes out of 20) before the heat pump was turned on at all, while in the latter case you would only need a 5% heat demand (1 minute out of 20) before the heat pump would be activated, for a minimum of 10 minutes.
I would say that you may want to do a bit of experimental tuning to adjust the balance of minimum on time between Evohome and the timer, and I would probably start with a 2 minute minimum on time in the Evohome config and an 8 minute delay on the timer, as that will cause your minimum heat demand threshold to be 10%, which is the same as the default one minute minimum on time 6 cycle scenario. If necessary increase the Evohome setting and reduce the timer delay a bit.
One drawback of the overrun timer is that when Evohome commands the heat pump off (heating off action) it would continue to run until the timer expired instead of immediately going off.
Does your system use a heating and/or hot water zone valve controlled by Evohome as well or just the one "boiler control" BDR91 ?