Jenkins Plugin:Extended Choice Parameter from JSON file
EDIT: Updating my answer to include steps on using the Declarative Directive Generator.

You can experiment with the different available configuration options, and sometimes gets hints as to what certain settings provide. For this specific case:


Navigate to &lt;$JENKINS_URL&gt;/directive-generator/
Select parameters: Parameters from the Sample Directive drop-down.
Click the Add button and select extendedChoice: Extended Choice Parameter
Select JSON Parameter Type and then experiment with the available options.
When finished, click Generate Declarative Directive to generate the code block to paste into your pipeline.




You can add the javascriptFile parameter and change the type to PT_JSON.

Using your example:

properties([
    [$class: 'BuildDiscarderProperty', strategy: [$class: 'LogRotator', numToKeepStr: '500']],
    parameters([extendedChoice( 
    defaultValue: 'One,Two,Three,Four', 
    description: '', 
    javascriptFile: '/path/to/file.json',
    multiSelectDelimiter: ',', 
    name: 'SAMPLE_EXTENDED_CHOICE', 
    quoteValue: false, 
    saveJSONParameterToFile: false, 
    type: 'PT_JSON', 
    value:'One,Two,Three,Four,Five,Six,Seven,Eight,Nine,Ten', 
    visibleItemCount: 10)