With a 15mm master cylinder and a single F08 you are going to need to develop a grip that can crush walnuts.
Assuming you have a standard 36mm F08 (although if you have a 38mm one that will mildly improve matters, you have a hydraulic ratio of either 0.208 (36mm) or 0.197 (38mm).
By comparison, a standard single F08 (or ATE) will have a 12mm m/c and a ratio of 0.166
A standard twin disc machine will have a 13mm m/c and two 36mm F08s (or ATEs) and a ratio of 0.090
And my own machine with a 12mm m/c and twin 38mm ex-K100 F)*s is 0.078
First things first -the above maths is approximate as I have simply used diameters and not swept area which would be inherently more accurate - but dimple diameter ratio is good enough to show how very different things can be.
Now a lot of this is down to preference - at opposite ends of the scale a 15mm m/c with a single disc is going to be "wooden" and be a very hard pull to get brakes. My bike is at the other end of the scale to an absurd degree - in fact I have my fellow club members queuing up to ride it and experience the "power' of the 860cc engine and I will not let them ride it until I have briefed them on the brakes and got them to do a few low speed stops - the reason is that I can lock the front wheel with my little finger alone. To be blunt it is dangerous and as soon as I can source a cheapie I'll fit a 13 or 14mm m/c to tame the brakes somwhat.
So, if your brakes are too bloody hard, and mine are too bloody powerful I reckon the "sweet spot" for a single disc system is 12~13mm and he sweet spot for a twin disc is 13~14mm.
If your 15mm m/c is in good condition I would suggest that you buy another caliper and disc and go twin discs, the costs will work out the same as a new 12~13mm m/c