i would say its a1967 going from your numbers.
the h70s were the old ones they use a walbro carb most of the time and i think its actually better that the tecumseh built carb.
.when they used the tecumseh built carb they were usually called an hmsk.
the h on your engine means horizontal crankshaft.
the hmsk on the newer ones means horizontal crankshaft medium construction (aluminum as opposed to hh for iron )snow king.
the year comes from the last number in the serial number and that only tells us its a 7 so we must use the model number to get the decade which should be the sixties which would be 1967.
engine should be an off white color with a metal gas tank.
if i am right and it does indeed have a walbro carb then be prepared to spend some bucks on the carb .the kits are about 3 times as much as the tecumseh ones.
later chris
craftsman 10/28 snowblower with tracks husky 372xpg chainsaw sachs dolmar bc212 bushsaw mondo trimmer monster tractor with trailer cheep wheelbarro and couple shovels and a partridge in a pear tree