Add genesis-structural-wrap and filter it through a template

functions.php

<?php
// First we include it in the genesis-structural-wrap genesis declaration
add_theme_support( 'genesis-structural-wraps', array(
	'header',
	// 'nav',
	// 'subnav',
	'site-inner',
	'footer-widgets',
	'page-header-img', //here is it
	'footer'
) );

// Add the page-header-img structural wrap
// Using the page's featured image as the div's background
add_action( 'genesis_after_header', 'mafs_page_header_img' );
function mafs_page_header_img() {

// This conditional restricts the implementation of this wrap to only pages 
	if ( is_page()) {

		$full_image_url = wp_get_attachment_image_src( get_the_ID(), 'full' );

		printf( '<div %s style="background-image: url(%s)">', genesis_attr( 'page-header-img' ), $full_image_url[0] );
		genesis_structural_wrap( 'page-header-img' );

			//the page-header-img-left class is to delimite that this div only occupies the 60% of the width
			//check the style.css for more details
			printf( '<div %s>', genesis_attr( 'page-header-img-left' ) );
			printf( '<h1 %s>%s</h1>', genesis_attr( 'class-for-the-title' ), esc_html( get_the_title() ) );
			echo '</div>';

		genesis_structural_wrap( 'page-header-img', 'close' );
		echo '</div>';

	}

}

page-template.php

<?php
/** Filter the page-header-img in this particular template
adding a div after the opening wrap div. */
//------------------------------------------------------
/* @param string $output The markup to be returned
*  @param string $original_output Set to either 'open' or 'close'
*/

add_filter( 'genesis_structural_wrap-page-header-img', 'mafs_page_header_img_filter_in_sectors', 10, 2);
function mafs_page_header_img_filter_in_sectors( $output, $original_output ) {

    global $post;
    if( 'open' == $original_output ) {
        $output = $output . '<span class="section-title">' . get_the_title( $post->post_parent ) . '</span>';
    }
    return $output;
}

style-for-template.css

.page-header-img .section-title {
	background-color: #465d97;
	color: #fff;
	padding: 2px 8px;
	margin-left: 20px;
	margin-bottom: 10px;
	margin-top: 5px;
	display: inline-block;
	float: left;
	text-transform: uppercase;
	font-weight: 700;
	font-size: 12px;
}

style.css

.page-header-img {
	background-color: #efefef;
	border-bottom: 1px solid #eee;
	padding: 60px 0;
	background-size: cover; /*this controls that the image covers the div*/
	background-position: center 50%; /*control the final position of the image into the div */
}

.page-header-img-left {
	float: left;
	width: 60%;
	clear: both;
}

.page-header-img h1 {
	margin: 0 0 0 20px;
	color: #fff;
	font-weight: 700;
	font-size: 50px;
	line-height: 1;
	-webkit-filter: drop-shadow(0 0 5px rgba(0,0,0,0.8));
  	filter: drop-shadow(0 0 5px rgba(0,0,0,0.8));
}