Code used to register a 'podcast' CPT for officehours.fm. View CPT archive at https://officehours.fm/podcast/. Note that there's no loop customization. The archive page uses some hooks to move or remove certain elements and the "grid layout" is achieved via CSS (flexbox).

archive-podcast.php

<?php

// Force full-width-content layout.
add_filter( 'genesis_pre_get_option_site_layout', '__genesis_return_full_width_content' );

// Move post info.
remove_action( 'genesis_entry_header', 'genesis_post_info', 12 );
add_action( 'genesis_entry_footer', 'genesis_post_info' );

// Remove post content
remove_action( 'genesis_entry_content', 'genesis_do_post_content' );

// Move post image
remove_action( 'genesis_entry_content', 'genesis_do_post_image', 8 );
add_action( 'genesis_entry_header', 'podcaster_do_grid_image', 8 );

genesis();

register-post-types.php

<?php 

// I recommend using Bill Erickson's Core Functioanlity Plugin for registering post types (https://github.com/billerickson/Core-Functionality)

add_action( 'init', 'cd_register_post_type' );
/**
 * Create site post types
 * @since 1.0.0
 * @link http://codex.wordpress.org/Function_Reference/register_post_type
 */
function cd_register_post_type() {

	// Podcast custom post type
	register_post_type( 'podcast',
		array(
			'labels' => array(
				'name'          => __( 'Podcast' ),
				'singular_name' => __( 'Podcast' ),
			),
			'exclude_from_search' => false,
			'has_archive'         => true,
			'hierarchical'        => true,
			'menu_icon'           => 'dashicons-video-alt3',
			'public'              => true,
			'rewrite'             => array( 'slug' => 'podcast' ),
			// Note the support added for 'genesis-cpt-archives-settings'. If you're using a plugin to register a CPT that doesn't already have support 
			// added for this then you can still add it via 'add_post_type_support' (https://codex.wordpress.org/Function_Reference/add_post_type_support).
			'supports'            => array( 'title', 'editor', 'excerpt', 'thumbnail', 'comments', 'custom-fields', 'genesis-cpt-archives-settings'  ),
		)
	);
}

style.css

/* Archives
--------------------------------------------- */
.archive .content,
.home .content {
  display: -webkit-box;
  display: -moz-box;
  display: box;
  display: -webkit-flex;
  display: -moz-flex;
  display: -ms-flexbox;
  display: flex;
  -webkit-box-lines: multiple;
  -moz-box-lines: multiple;
  box-lines: multiple;
  -webkit-flex-wrap: wrap;
  -moz-flex-wrap: wrap;
  -ms-flex-wrap: wrap;
  flex-wrap: wrap;
  -webkit-box-pack: justify;
  -moz-box-pack: justify;
  box-pack: justify;
  -webkit-justify-content: space-between;
  -moz-justify-content: space-between;
  -ms-justify-content: space-between;
  -o-justify-content: space-between;
  justify-content: space-between;
  -ms-flex-pack: justify;
}

.archive article,
.home article,
.blog article {
  -webkit-flex-basis: 20em;
  -moz-flex-basis: 20em;
  flex-basis: 20em;
  -ms-flex-preferred-size: 20em;
  -webkit-flex-grow: 1;
  -moz-flex-grow: 1;
  flex-grow: 1;
  -ms-flex-positive: 1;
  margin: 0 10px 20px 0;
  position: relative;
}
.archive article .entry-header,
.home article .entry-header,
.blog article .entry-header {
  font-weight: bold;
  line-height: 1.5em;
  overflow: hidden;
  position: relative;
}
.archive article img,
.home article img,
.blog article img {
  border-radius: 0;
  float: none;
  margin-bottom: 0;
  max-width: 100%;
}
.archive article .entry-image-link:after,
.home article .entry-image-link:after,
.blog article .entry-image-link:after {
  content: '';
  position: absolute;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  opacity: .9;
}
.archive article.course .entry-image-link:after,
.home article.course .entry-image-link:after,
.blog article.course .entry-image-link:after {
  display: none;
}
.archive article .entry-title,
.home article .entry-title,
.blog article .entry-title {
  background: rgba(9, 105, 144, 0.5);
  color: #fff;
  font-size: 1.3em;
  margin: 0;
  padding: 5px 20px;
  position: absolute;
  top: 0;
}
.archive article .entry-title:hover,
.home article .entry-title:hover,
.blog article .entry-title:hover {
  background: rgba(136, 170, 49, 0.5);
}
.archive article .entry-title a,
.home article .entry-title a,
.blog article .entry-title a {
  color: #fff;
}
.archive article .entry-title a:hover,
.home article .entry-title a:hover,
.blog article .entry-title a:hover {
  color: #fff;
}
.archive article .entry-content,
.home article .entry-content,
.blog article .entry-content {
  font-size: 0.9em;
  line-height: 1.5em;
}
.archive article .entry-image-link,
.home article .entry-image-link,
.blog article .entry-image-link {
  position: relative;
  overflow: hidden;
}
.archive article .overlay-image,
.home article .overlay-image,
.blog article .overlay-image {
  bottom: 0;
  left: 0;
  right: 0;
  opacity: .2;
  position: absolute;
}

@media screen and (min-width: 1023px) {
  .archive .search-form {
    margin: 0 auto;
    width: 30%;
  }
}