There are 2 prominent reasons for operating reformer at high pressure (28 - 30 barg)
1. At higher operating pressure you can process reasonable amount gas with in a reasonable size of reactor. But if you want to operate at lower pressure, to process same amount of gas the reactor size will be enormous.
2. In a hydrogen generation Plant (HGU) after reformer reactor there are two more reactors (i) High Temperature shift reactor and (ii) Low temperature shift reactor and finally PSA system for purification of hydrogen. Therefore there are reasonable pressure drop across the system. Moreover the PSA system require at least 20 barg to operated properly. So if Reformer is operated at low pressure to take the thermodynamic advantage of equilibrium then after reformer reactor the reactor effluent need to be further pressurize by compressor, which involves cost. So a HGU is a highly pressure balance system.
To make you understand the process I must say you that there is no gasoline reformer unit. You must be referring about Naphtha reforming unit. You should understand the difference between Naphtha & Gasoline. Although Gasoline is prepared from naphtha range cut but Naphtha & Gasoline are not the same thing. Gasoline is finished product, have high aromatic olefins and isomers to have high octane number. The naphtha used for HGU is generally straight run and have poor octane value.
The second thing, you mentioned about coke formation. But I must say you that in reformer, pressure has little effect on coke formation. The main coke formation is due to poor Steam to hydrocarbon ratio. If you maintain proper Steam to hydrocarbon ratio the coke will suppress. So in a reformer Steam to hydrocarbon ratio is about 5 to 7. The effect of pressure on coke formation is found in hydro processing or hydrocracking type of process.
Another important thing is Pre-reformer. Any commercial reformer unit operating with naphtha as feed should always have a pre-reformer prior to reformer unit.