My Sako Finnlight in 30-06 with a pencil barrel will shoot two shots touching from a cold clean barrel....dead center into the bullseye...(point of aim)...
With a 165 grain nosler bullet in front of 57 grains of IMR 4350..

sounds like the classic 30-06 load

my m70 likes:

165 gr. Hornady Interbond @ 3.27" OAL
57.0 grs. H4350
R-P case
WLR primer
~
2806 fps avg.