Combine the carrots, onion, vinegar, water, garlic, lime juice, salt, pepper and mustard in a medium saucepan. Bring to a simmer over medium heat and cook, stirring occasionally, for 10 to 15 minutes or until the carrots are soft. Remove from heat.
Use an immersion blender or food processor to puree the mixture. Add the habaneros and continue to puree until smooth. Pour into sterilized jars or bottles and process in a hot water bath for 15 minutes.