How to sync server and client models using TranslateBy in render step and heartbeat?

I have a ship that can be piloted by a player.

1. The ship has a speed value that determines how fast to move it.
2. The client uses remote functions to set the speed of the ship.
3. Each client translates the model in render step, and the server translates in heartbeat.

However I have a very strange problem, the server is completely smooth but the client has some parts that are left behind, it almost seems like the network is syncing before TranslateBy is done moving all the parts.

Example

Server(Smooth) ! Gif

Client(Some parts of the model are left behind until the next sync) ! Gif

Note when I play the game in the studio(Play not Test) the client is very smooth.

Code

Client

RunService:BindToRenderStep("move", Enum.RenderPriority.First.Value, function (delta)
    for i, ship in ipairs(localShips) do -- localShips contain the models
        local dt = (delta * 1000) / 16
        local tSpeed = ship.speed.Value / 60

        ship:TranslateBy(ship.PrimaryPart.CFrame.lookVector * (tSpeed * dt))
    end
end)

Server

RunService.Heartbeat:Connect(function (delta)
    local dt = (delta * 1000) / 16
    local tSpeed = ship.speed.Value / 60
    ship:TranslateBy(ship.PrimaryPart.CFrame.lookVector * (tSpeed * dt))
end)

Note

1. The parts are anchored.
2. I can't use any physics(body movers, motor6d).
3. I have tried to stick the loops into their own coroutines and calculate my own delta.
4. All parts have the same parent(should not matter).

Question

Any idea on why this is happening?

Is there a better way to do this?