Category images Grid Template in Genesis. http://sridharkatakam.com/category-images-grid-template-genesis/

category.php

<?php
/**
 * This file adds the category archive template.
 *
 */

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

//* Remove the breadcrumb navigation
remove_action( 'genesis_before_loop', 'genesis_do_breadcrumbs' );

//* Remove the post info function
remove_action( 'genesis_entry_header', 'genesis_post_info', 5 );

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

//* Remove the post image
remove_action( 'genesis_entry_content', 'genesis_do_post_image', 8 );

//* Add portfolio body class to the head
// add_filter( 'body_class', 'executive_add_portfolio_body_class' );
function executive_add_portfolio_body_class( $classes ) {
   $classes[] = 'executive-pro-portfolio';
   return $classes;
}

/**
 * Display as Columns
 *
 */
function be_portfolio_post_class( $classes ) {
	$columns = 4; // Set the number of columns here

	$column_classes = array( '', '', 'one-half', 'one-third', 'one-fourth', 'one-fifth', 'one-sixth' );
	$classes[] = $column_classes[$columns];
	global $wp_query;
	if( 0 == $wp_query->current_post || 0 == $wp_query->current_post % $columns )
		$classes[] = 'first';

	return $classes;
}
add_filter( 'post_class', 'be_portfolio_post_class' );

//* Add the featured image after post title
add_action( 'genesis_entry_header', 'sk_category_grid' );
function sk_category_grid() {

    if ( $image = genesis_get_image( 'format=url&size=category-image' ) ) {
        printf( '<div class="category-grid-post-featured-image"><a href="%s" rel="bookmark"><img src="%s" alt="%s" /></a></div>', get_permalink(), $image, the_title_attribute( 'echo=0' ) );

    }

}

//* Customize entry meta in the entry header
add_filter( 'genesis_post_info', 'sp_post_info_filter' );
function sp_post_info_filter($post_info) {
	// $post_info = '[post_date] by [post_author_posts_link] [post_comments] [post_edit]';
	$post_info = '[post_date] [post_edit]';
	return $post_info;
}

//* Remove the post meta function
remove_action( 'genesis_entry_footer', 'genesis_post_meta' );

genesis();

functions.php

//* Add new image size
add_image_size( 'category-image', 350, 263, true );

//* Display left floating featured image on single Posts
add_action( 'genesis_entry_content', 'show_featured_image', 9 );
function show_featured_image() {

	if (is_singular( 'post' ))
		genesis_image( array( 'size' => 'medium', 'attr' => array ('class' => 'alignleft') ) );
}

page_categories_grid.php

<?php
/*
	Template Name:  Categories Grid
*/

# Force full width content
add_filter( 'genesis_pre_get_option_site_layout', '__genesis_return_full_width_content' );
# Remove the breadcrumb
// remove_action( 'genesis_before_loop', 'genesis_do_breadcrumbs' );
# Remove the post title
// remove_action( 'genesis_post_title', 'genesis_do_post_title' );

add_filter( 'body_class', 'categories_grid_body_class' );
/**
 * Adds a css class to the body element
 *
 * @param  array $classes the current body classes
 * @return array $classes modified classes
 */
function categories_grid_body_class( $classes ) {
	$classes[] = 'categories-grid';
	return $classes;
}

# Remove the post content
remove_action( 'genesis_entry_content', 'genesis_do_post_content' );
# Add custom post content
add_action( 'genesis_entry_content', 'sk_do_post_content' );

/**
 * Outputs custom post content
 *
 * @return void
 */
function sk_do_post_content() {

	$i = 0;
	$columns = 4; // Set the number of columns here (2 to 6)

	$column_classes = array( '', '', 'one-half', 'one-third', 'one-fourth', 'one-fifth', 'one-sixth' );
	$class = $column_classes[$columns];

	$args = array(
	  'orderby' => 'name',
	  'parent' => 0
	  );
	$categories = get_categories( $args );
	foreach ( $categories as $category ) {
		if (z_taxonomy_image_url($category->term_id)) { // if category image exists
			if ($i % $columns == 0) {
				echo '<div class="'. $class . ' first category-item">';
			}
			else {
				echo '<div class="' . $class . ' category-item">';
			}
			// Category title
			echo '<h2 class="category-title"><a href="' . get_category_link( $category->term_id ) . '">' . $category->name . '</a></h2>';

			// Category image linking to category archive
			echo '<a href="' . get_category_link( $category->term_id ) . '"><img src="'. z_taxonomy_image_url($category->term_id, 'category-image') . '" /></a>';

			// Category description
			echo category_description( $category->term_id );

			// Custom 'Read More' link
			echo '<a href="' . get_category_link( $category->term_id ) . '">All Posts under ' . $category->name . ' category &raquo;</a>';

			echo '</div>';

			$i++;
		}
	}

}

genesis();

style.css

/* Categories Grid
----------------------------------------- */

.categories-grid .entry-header {
	margin-bottom: 40px;
}

.categories-grid h2.category-title a,
.categories-grid h3.category-title a {
	border-bottom: none;
}

.categories-grid .category-item {
	margin-bottom: 40px;
}

.category .entry-title {
	word-wrap: break-word;
}

.categories-grid .category-item p {
	margin-top: 10px;
	margin-bottom: 10px;
}