You can definitely work with that. Simply remove all of the blank areas and get rid of the newline characters... then you've got six values like this:

1. [0] "Ax: -2368"
2. [1] "Ay: 9168"
3. [2] "Az: 13028"
4. [3] "Gx: 580"
5. [4] "Gy: -92"
6. [5] "Gz: -426"

You can parse these by detecting the first four characters (with an if statement?), then taking away the remaining characters and parsing them with int(), using the values that you receive to build up a variable, such as a PVector.

I think the best way to do this is to read one complete line, then split this line into an array of strings, then sort it into values or labels. Example:

1. import processing.serial.*;
   Serial port;
   
   // arduino
   int[] values = new int[6];
   String[] labels = new String[6];
   
   void setup() {
     port = new Serial(this, Serial.list()[0], 9600);
   }
   
   void draw() {
   }
   
   // serial event
   void serialEvent(Serial p) {
   
     // get message till line break (ASCII > 13)
     String message = p.readStringUntil(13);
     // just if there is data
     if (message != null) {
       // try catch function because of possible garbage in received data
       String[] elements = splitTokens(message);
      
       // check if number of elements is what you expected
       if (elements.length ==12) {
         // sort the parts of the message
         for (int i =0; i < elements.length; i++ ) {
           if (i%2 == 0)
             labels[i/2] = elements[i];
           else
             values[i/2] = int(elements[i]);
         }
       }
     }
   
     // print what you recieved
     for (int i = 0; i< labels.length; i++) {
       print(labels[i]);
       println(values[i]);
     }
   }
   

But sure, this is just the way i prefer to do it. They way calsign described should work as well.

Works great, except that I have problems converting the string in to a float

That's because you haven 't followed the advice above: you have to split the strings to keep only the right side, the one with the number. Here, you try to convert "Ax:" to an int...

I tried to this

Indeed, values is an array of ints... (ni the code of benja, above). I am totally lost about what you are doing, what is the state of your code, etc.