Pre-dye sections of the clothesline rope with food coloring and vinegar, just like easter egg dyeing.
Let dry.
Make a coil at one end of the rope using a large pin to hold it in place.
Use a zigzag stitch to hold the coil together.
Keep your coil flat, and sew as much as you want to create the bottom of the basket.
Then turn the coil 90 degrees and continue sewing, just as you did before, to create sides.
When you get to the height you want, stop to make handles. Do this by simply leaving sections of rope untouched for a couple of inches, and then start sewing again at the end of the handle, making sure to back-stitch or double stitch to secure the ends.
Finish the basket at the end of the second handle.