Better yet, contact Lycoming and get the Operator's Manual for your engine (same book for all O-360-series including your IO-360-C1C6 and my O-360-A4K, which is why I have the right one), and consult the graph on page 3-37 to get power output at full throttle at altitude, and then the graph on page 3-22 to get fuel flow for the power output (use the "best power" lines). Going through that, I get:
5000 - 25"/2700 - 169 HP - 81 pph/13.5 gph
6000 - 24"/2700 - 160 HP - 78 pph/13 gph
7000 - 23"/2700 - 151 HP - 75 pph/12.5 gph
8000 - 22"/2700 - 142 HP - 72 pph/12 gph
Note that these are all "standard day" -- for non-standard temperature, you'd have to go back in the book and recalculate, but it won't change a whole lot.