Gas tank vibrates 1400 suzuki 1993

SOURCE: vibration

The carbs should be synchronized every 20k miles. If you are having a roughness in idle then I would recommend the carbs being synched. If the problem is at higher RPM's I'd check to see if the motor has a harmonic dampener that can be adjusted. This often resolves vibration issues. I'm just not sure if this bike has one. These big bikes usually have some sort of adjustable dampening device internally.
I'd also like to have you check the motor mounts. This is a common problem if your bike has any rubber in the motor mounts. The rubber wears or even breaks and you often cannot see it until you actually try to remove the mount. Often they will fall apart in your hands.
These big motors all vibrate a bit so many of the manufacturers have realized that adding modified motor mounts is helpful.

SOURCE: Clutch bleed on a Suzuki 1400 Intruder 2000

One the left-hand side of the bike (facing forward), there is cover plate just ahead of the drive shaft. Remove that cover (mine has 8mm bolts). The bleeder valve is under this cover. Go to an auto parts store and get a "one man bleeder kit" or if you have some plastic tubing that will fit over the valve, you can use that and a clean jar. Follow the instructions on the bleeder kit, or if you're using the jar and tubing, fill the jar about a quarter of the way with break fluid (use DOT4, but never DOT5!). Take the cover off the master cylinder up at the handlebars, place the tube over the end of the bleed valve (after loosening it a turn or two. Place the other end of the tube down in the break fluid in the jar. Work the clutch lever until you stop getting bubbles in the jar. Be sure to keep the fluid level up in the reservoir. Tighten the bleeder valve, remove the tubing, top off the fluid and replace the covers.

Be careful not to get brake fluid on anything. It will eat paint and mess up other things.

SOURCE: 1993 Suzuki VS1400 - Where can I find performance specs?

I did not see for one with a 4 speed. I did not know they made a 4 speed intruder. But the will give you some of the specs like power ratings ect. There is another site called specs.com that should be adding motorcycle specs. anyways here is the link.
http://www.totalmotorcycle.com/motorcyclespecshandbook/suzuki/1993-suzuki-VS1400Intruder.htm
I hope that helps a bit.

SOURCE: what is the black button on the gas tank of suzuki

Well mine seems to be a dummy button but on others it switches the display from miles travelled to a display where you can see how many miles your single journey is, tried replacing the wires on mine but still does nothing.

Hope this helped.

SOURCE: My suzuki intruder is missing backfiring on the

Did you sync the two carbs? If not the rear may be getting all the gas from the rear carb and none to the front. Twist throttle engine off and see if front carb cable is pulling the carb open.
Also unscrew the spark plug boot from the front spark plug wire and trim 1/8th inch off the wire and screw the boot back in. The plug wire end may be corroded on that wire.