First of all, your pedal arrangement is backward to me. My chain goes right to left, yours is left to right. Why is this wrong? Well, it isn't if that's how you like it. But consider. I'm a right handed player. The instrument cable falls out of my bass on my right side. If my first pedal is also on my right side, then the cable doesn't need to cross me before hitting the chain. Also, I'm right footed (as most right handed people are). The pedals I use most (tuner in my case) should probably go directly under my right foot. Something to think about. You'll notice that pedals have their ins and outs oriented this way, too, and for exactly the reasons I've stated.
Now to the effect order. Your mileage may vary, but I like comp at the beginning and DI at the end. The in between stuff doesn't matter as much, but as has been pointed out before you probably want your time-based effects toward the end. Do like Dave said:
Comp > BEF > Mantic > Chorus > Reverb > DI