Importing just stops

Hi team.
I have a problem importing my 16694 post from blogger to my self-hosted wordpress blog.
The plugin just stops the import. And I don’t find where is the problem.

I changed some constants in blogger-importer.php:

const MAX_EXECUTION_TIME = 60;
        const REMOTE_TIMEOUT = 20;

The debug bar shows (I changed de domain to ‘webuser’ but I can post it if you need it):

0: $_REQUEST

Array
(
    [import] => blogger
)
1: $_SERVER

Array
(
    [SERVER_SOFTWARE] => Apache/2.2.27 (Unix) mod_ssl/2.2.27 OpenSSL/0.9.8e-fips-rhel5 mod_bwlimited/1.4
    [REQUEST_URI] => /wp-admin/admin.php?import=blogger
    [DOCUMENT_ROOT] => /home/webuser/public_html
    [GATEWAY_INTERFACE] => CGI/1.1
    [HTTP_ACCEPT] => text/html,application/xhtml+xml,application/xml;q=0.9,image/webp,*/*;q=0.8
    [HTTP_ACCEPT_ENCODING] => gzip,deflate,sdch
    [HTTP_ACCEPT_LANGUAGE] => es-419,es;q=0.8
    [HTTP_CONNECTION] => keep-alive
    [HTTP_COOKIE] => wordpress_c2e55ec316adc5494baed30f6572f255=wgadmin%7C1406833296%7C63d4422e6410e96c6a3e58cfa98d1daf; wordpress_test_cookie=WP+Cookie+check; wordpress_logged_in_c2e55ec316adc5494baed30f6572f255=wgadmin%7C1406833296%7Ced14c55652bc7ae63a218c7514a1619d; wp-settings-1=libraryContent%3Dbrowse; wp-settings-time-1=1406665300
    [HTTP_HOST] => webuser.net
    [HTTP_REFERER] => http://webuser.net/wp-admin/import.php
    [HTTP_USER_AGENT] => Mozilla/5.0 (Windows NT 5.1) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/36.0.1985.125 Safari/537.36
    [PATH] => /bin:/usr/bin
    [QUERY_STRING] => import=blogger
    [REDIRECT_STATUS] => 200
    [REMOTE_ADDR] => 201.255.15.130
    [REMOTE_PORT] => 1495
    [REQUEST_METHOD] => GET
    [SCRIPT_FILENAME] => /home/webuser/public_html/wp-admin/admin.php
    [SCRIPT_NAME] => /wp-admin/admin.php
    [SERVER_ADDR] => 173.237.190.67
    [SERVER_ADMIN] => [email protected]
    [SERVER_NAME] => webuser.net
    [SERVER_PORT] => 80
    [SERVER_PROTOCOL] => HTTP/1.1
    [SERVER_SIGNATURE] =>
    [UNIQUE_ID] => U9gpIK3tvbMAAD27UjUAAABM
    [PHP_SELF] => /wp-admin/admin.php
    [REQUEST_TIME] => 1406675232
    [argv] => Array
        (
            [0] => import=blogger
        )

    [argc] => 1
)

And I don’t know if this is related but wp’s debug shows:

[29-Jul-2014 22:32:24 UTC] PHP Fatal error:  Allowed memory size of 41943040 bytes exhausted (tried to allocate 268515 bytes) in /home/webuser/public_html/wp-includes/SimplePie/Parser.php on line 122

What do you think. How I can finalize the import process?

https://wordpress.org/plugins/blogger-importer/