So this turned out to be a good experiment (that's still ongoing)
I played around with your tune as well as
@praiano63 's tune on this car and found out some interesting things.
His tune runs on SM and yours on SH and they have considerably different parts, suspension, and aero setting, so it was fun to compare them.
When I ran both (without changes) they were almost identical on my first try with each tune - almost exactly 27:00 for the race.
I'm trying to learn more about tuning so I tried a bunch of experimentation, primarily with the tires, the aero and some of the gearing settings. On the trans, I mostly made gear 6 longer to get higher speed on the straight and adjusted the length of one or two gears slightly to get better shift points.
The last setup I tried, I was able to run the lap at ~26:40 using SH tires.
@Tommy_D, as you mentioned, the tires tend to wear out, and I was also trying to find my fastest lap time, so I'm pitting at the end of lap 8, changing the tires, and only taking on a small amount of fuel.
Because the pit is very fast on this course (in comparison with LeMans & Spa for example), the time spent in the pits is washed out by the increased lap times from worn tires in my experience.
With that tune, my average lap time in laps 4-7 before things dry out is in the 2:09's. In the last several laps with a drier track and fresh tires I was averaging in the 2:07s with one high 2:06 lap. With the transmission changes (I stayed with manual and not racing as you mentioned in your video because I don't get the pp hit) and I'm able to get a top speed of 212-213 mph on the straight.
I still want to do more experimentation with this, but this car is definitely very fast and fun to drive on this race.