In Genesis, by default the featured image is set to be displayed inside div.entry-content on the archives (if image display is enabled in the theme settings).
Looking to move the featured image (link) out of .entry-content so it is directly underneath .entry as its first child?
While the tutorial has been written for Genesis Sample, it should work with a few adjustments in any Genesis theme.
Method 1:
This is the easier and recommended method.
We simply remove the featured image from entry content and add it above the entry header using remove_action and add_action.
Add the following in child theme’s functions.php:
add_action( 'genesis_before_entry', 'custom_relocate_featured_image' );
function custom_relocate_featured_image() {
    // if this is not an archive, abort.
    if ( is_singular() ) {
        return;
    }
    // Remove featured image from entry content.
    remove_action( 'genesis_entry_content', 'genesis_do_post_image', 8 );
    // Add featured image above entry header.
    add_action( 'genesis_entry_header', 'genesis_do_post_image', 3 );
}
Method 2:
- Remove the featured image from its default location i.e., entry content.
 - In a function hooked to the dynamic 
genesis_markup_entry_openfilter, append the output ofgenesis_do_post_image(). 
Add the following in child theme’s functions.php:
// Remove featured image from entry content.
remove_action( 'genesis_entry_content', 'genesis_do_post_image', 8 );
add_filter( 'genesis_markup_entry_open', 'insert_html_after_entry_markup', 10, 2 );
/**
 * Appends HTML to the opening markup for .entry.
 *
 * @param string $open_html HTML tag being processed by the API.
 * @param array  $args       Array with markup arguments.
 *
 * @return string
 */
function insert_html_after_entry_markup( $open_html, $args ) {
    if ( ! is_singular() && $open_html ) {
        ob_start();
            genesis_do_post_image();
        $additional_html = ob_get_clean();
        $open_html = $open_html . $additional_html;
    }
    return $open_html;
}
			

