Reading uint16 to image java

I have a .bin file that has been created in a matlab code as uint16 and i need to read it in java. With the code I'm using now I get a blurry image with a very bad grayscale. Any ideas on how I can make this work?

This is the class I use to read the .bin file:

import java.io.DataInputStream;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStream;

public class BinaryFile2 {

public BinaryFile2() {
}

InputStream is;
DataInputStream dis;

public int[][] read(String filename, int x, int y) throws IOException {

    try {

        is = new FileInputStream(filename);
        dis = new DataInputStream(is);
        int length = dis.available();

        int[] buf = new int[length];
        int[][] real = new int[x][y];

        int i = 0;
        System.out.print(dis.available());
        while (dis.available() > 0) {
            buf[i] = dis.readShort();
            ;
            i++;
        }
        int counter = 0;
        for (int j = 0; j < x; j++) {
            for (int k = 0; k < y; k++) {
                real[j][k] = buf[counter];
                counter++;
            }
        }
        return real;
    } catch (Exception e) {
        e.printStackTrace();
    } finally {
        if (is != null)
            is.close();
        if (dis != null)
            dis.close();
    }
    return null;

}
}

And this is the main class:

import java.awt.image.BufferedImage;
import java.awt.image.WritableRaster;
import java.io.*;
import javax.imageio.ImageIO;
import javax.imageio.ImageReader;

public class main {

public static void main(String[] args) {

    BinaryFile2 binary = new BinaryFile2();

    try {
        int[][] image = binary.read("data001.bin", 1024, 2048);         
            BufferedImage theImage = new BufferedImage(1024, 2048,
                    BufferedImage.TYPE_BYTE_GRAY);
            for (int y = 0; y < 2048; y++) {
                for (int x = 0; x < 1024; x++) {
                    int value = image[x][y];
                    theImage.setRGB(x, y, value);
                    System.out.println(value);
                }
            }

            File outputfile = new File("saved.png");
            ImageIO.write(theImage, "png", outputfile);

        System.out.println("done");
    } catch (IOException e) {
        e.printStackTrace();
    }

}
}