Create random password using java SecureRandom class

This is my first experience with java.security.SecureRandom and I'd like someone to critique the follow code to ensure I'm doing this correctly. The code is supposed to generate a cryptographically secure random password of arbitrary length. Any input would be appreciated.

import java.util.*;
import java.security.SecureRandom;

public class PassGen{

    private static final String VALID_PW_CHARS = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789!@#$%^&*()-_=+{}[]|:;<>?,./";
    private static final int DEFAULT_PASSWORD_LENGTH = 12;
    private static final Random RANDOM = new SecureRandom();


    // main class
    public static void main(String args[]) throws Exception {


        // Set password length
        int pwLength;
        if (args.length < 1)
            pwLength = DEFAULT_PASSWORD_LENGTH;
        else
            pwLength = Integer.parseInt(args[0]);


        // generate password
        String pw = "";
        for (int i=0; i<pwLength; i++) {
            int index = (int)(RANDOM.nextDouble()*VALID_PW_CHARS.length());
            pw += VALID_PW_CHARS.substring(index, index+1);
        }

        System.out.println("pw = " + pw);
  }
}