Generate 16-digit unique code (like product serial)

static final private String ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789";
final private Random rng = new SecureRandom();    

char randomChar(){
    return ALPHABET.charAt(rng.nextInt(ALPHABET.length()));
}

String randomUUID(int length, int spacing, char spacerChar){
    StringBuilder sb = new StringBuilder();
    int spacer = 0;
    while(length > 0){
        if(spacer == spacing){
            sb.append(spacerChar);
            spacer = 0;
        }
        length--;
        spacer++;
        sb.append(randomChar());
    }
    return sb;
}