There are no futuristic weapons shown within the movie The Matrix while people are inside The Matrix.
The only shown example of a created weapon inside The Matrix that is different than what is natural to it is Mouse's Automatic Weapon.
The Internet Movie Firearms Database
The unusual pair of large guns that Mouse (Matt Doran) uses are
custom-built cam-operated electric driven automatic 12 gauge shotguns
with 25-shell cylinders and a fire rate of 900 rounds per minute. They
were crafted by John Bowring, lead armorer of the film. As an inside
joke, Bowring named the guns "Andy" (serial no. A1169 - Leetspeak for
Andy) and "Larry" (serial no. L2779 - Leetspeak for Larry) after the
Wachowskis, the writers and directors of the film. It can be assumed
inside the Matrix, Mouse designed these shotguns for himself like he
designed the woman in the red dress.
As far as evidenced in the movie and that particular website which shows pretty much every single firearm in the movie (while inside The Matrix) there is no evidence of any actual truly Futuristic Weapons.
We know that The Matrix is coded itself to be a Simulation of the Real World. As such the weapons and gear that is used within the Matrix would most likely be restricted to what era the Matrix is simulating. All the weapons in the movie are based on real life weapons that are common within the late 90's / early new Millenium.
The only evidence of "high tech" stuff would be the bug remover and stuff that the agents use.
It looks pretty much like some sort of sonogram machine with a tube that sucks stuff out. This is an example of a "jerry-rigged" device, though I don't feel that it would be considered futuristic.
Also since Agents work for The Matrix itself it's entirely possible that they have access to stuff that others do not. Like the drug used on Morpheus.
Overall I think that if we use Occam's Razor, the principle that among competing theories the one with the least assumptions will most likely be correct, that they can't really create truly futuristic weapons. Sure there's evidence of jerry-rigged stuff, but there's no evidence of weapons that would be considered truly futuristic. As opposed to the assumption that there are people who are knowledgeable enough who can hack / create weapons that are considered futuristic, are capable of doing so, but then choose not to for whatever reason.
The only person who is capable of ACTUALLY creating whatever thing he wanted would be Neo because he can bend reality within The Matrix. Though there is no evidence of him willing anything into existence or having the knowledge of being able to create such advanced things. I believe his powers would be more like The Green Lantern, his powers are pretty much limited by his will / imagination.