Edit genesis_html5_comment_callback to show only date with no time or link

functions.php

<?php
//* Remove the line above when copying to your functions.php

add_filter( 'genesis_comment_list_args', 'custom_comment_list_args' );
//* Filter the genesis_comment_list_args to add a custom callback function
function custom_comment_list_args( $args ) {
    $args['callback'] = 'custom_comment_callback_no_date';
    return $args;
}

function custom_comment_callback_no_date( $comment, array $args, $depth ) {

    $GLOBALS['comment'] = $comment; ?>

    <li <?php comment_class(); ?> id="comment-<?php comment_ID(); ?>">
    <article <?php echo genesis_attr( 'comment' ); ?>>

        <?php do_action( 'genesis_before_comment' ); ?>

        <header <?php echo genesis_attr( 'comment-header' ); ?>>
            <p <?php echo genesis_attr( 'comment-author' ); ?>>
                <?php
                echo get_avatar( $comment, $args['avatar_size'] );

                $author = get_comment_author();
                $url    = get_comment_author_url();

                if ( ! empty( $url ) && 'http://' !== $url ) {
                    $author = sprintf( '<a href="%s" %s>%s</a>', esc_url( $url ), genesis_attr( 'comment-author-link' ), $author );
                }

                /**
                 * Filter the "comment author says" text.
                 *
                 * Allows developer to filter the "comment author says" text so it can say something different, or nothing at all.
                 *
                 * @since unknown
                 * 
                 * @param string $text Comment author says text.
                 */
                $comment_author_says_text = apply_filters( 'comment_author_says_text', __( 'says', 'genesis' ) );

                printf( '<span itemprop="name">%s</span> <span class="says">%s</span>', $author, $comment_author_says_text );
                ?>
            </p>

            <p <?php echo genesis_attr( 'comment-meta' ); ?>>
                <?php               
                printf( '<time %s>', genesis_attr( 'comment-time' ) );
                echo    esc_html( get_comment_date() );
                echo    '</time>';

                edit_comment_link( __( '(Edit)', 'genesis' ), ' ' );
                ?>
            </p>
        </header>

        <div <?php echo genesis_attr( 'comment-content' ); ?>>
            <?php if ( ! $comment->comment_approved ) : ?>
                <?php
                /**
                 * Filter the "comment awaiting moderation" text.
                 *
                 * Allows developer to filter the "comment awaiting moderation" text so it can say something different, or nothing at all.
                 *
                 * @since unknown
                 * 
                 * @param string $text Comment awaiting moderation text.
                 */
                $comment_awaiting_moderation_text = apply_filters( 'genesis_comment_awaiting_moderation', __( 'Your comment is awaiting moderation.', 'genesis' ) );
                ?>
                <p class="alert"><?php echo $comment_awaiting_moderation_text; ?></p>
            <?php endif; ?>

            <?php comment_text(); ?>
        </div>

        <?php
        comment_reply_link( array_merge( $args, array(
            'depth'  => $depth,
            'before' => sprintf( '<div %s>', genesis_attr( 'comment-reply' ) ),
            'after'  => '</div>',
        ) ) );
        ?>

        <?php do_action( 'genesis_after_comment' ); ?>

    </article>
    <?php
        //* No ending </li> tag because of comment threading

}

note.txt

Use /wp-content/themes/genesis/lib/structure/comments.php to start your edits.