Arduino Due: multiple TCS sensors
Seems you have to run these serially, but not sure why it's an issue, a due is quick. 

seems more programming related... 'detectColor' is a function, and this is run inside the loop i assume.  

int taosOutPin1 = 10; //color detector 1
int taosOutPin2 = 2; //Pins are examples, change to actual pin...
int taosOutPin3 = 3;
int taosOutPin4 = 4; //color detector 4

typedef struct {
   float white;
   float red;
   float blue;
   float green;

} color; 

void setup() {
  // put your setup code here, to run once:

}


void loop() {

color detectedColorForSensor1 = detectColor(taosOutPin1);
color detectedColorForSensor2 = detectColor(taosOutPin2);
color detectedColorForSensor3 = detectColor(taosOutPin3);
color detectedColorForSensor4 = detectColor(taosOutPin4);

Serial.print(detectedColorForSensor1.red);
Serial.print(detectedColorForSensor1.green);
Serial.print(detectedColorForSensor1.blue);
Serial.print(detectedColorForSensor1.white);

//etc for sensor 2,3,4............


}

color detectColor(int taosOutPin1) {

color detectedColor;

detectedColor.white = colorRead(taosOutPin1,0,1);
detectedColor.red = colorRead(taosOutPin1,1,1);
detectedColor.blue = colorRead(taosOutPin1,2,1);
detectedColor.green = colorRead(taosOutPin1,3,1);

return detectedColor;

}