That looks like the later style engine number that started in '57 and ran through '62. If that's right, the F indicates Flint, MI manufacturing plant. 02 is the month - February. 22 is the day of the month. And LB is the service code.
LB was first used in '57, but for the 265 V8 - not correct. In '58, Chevy changed the service codes. L indicated 6000 series truck, and inline 261 engine. No LB code. In '59, L still indicates 6000 series truck with 261, but jumps to LC (no LB code), also a 261. Then in '60, the LB code shows up again, for 60-series trucks as the base engine, which would be the 261. Best guess is that the engine is a '60-'63 HD truck 261.
Here's the '60 VIK from the GM Heritage Center. Look to page #7 (8th page of the .pdf) for the service code shown in the attached image: 1960-Chevrolet-Truck.pdf
Confirming that ID, and narrowing the model year can be done with what Tim posted: casting numbers and dates.