Hudson doesn't start on tomcat 7

I'm trying to deploy hudson 1.361 into tomcat 7.0.0 rc4. (In fact I had working installation of hudson in tomcat 6.0.26 and I just upgraded tomcat, but I have same issue on fresh install).

Tomcat says: 'OK - Started application at context path /hudson, but when I navigate to /hudson/, I'm getting e404', but when I navigate to /hudson/, I get HTTP 404 NOT FOUND error.
There are no errors exceptions in catalina log. I tried on java-sun-1.6.0.20 and Icedtea6, same problem on both.

My context.xml is:

# cat /etc/tomcat/Catalina/localhost/hudson.xml                                                     
<?xml version="1.0" encoding="UTF-8"?>
<!-- $Id: hudson-context.xml,v 1.2 2009/02/01 23:26:40 pawelz Exp $ -->
<Context path="/hudson" docBase="/usr/share/hudson"
        privileged="false" allowLinking="true">

</Context>

(same context works perfectly with tomcat-6.0.26)

Please let me know if I can provide you with more details/information. I have testing environment, where I can test patches/workarounds/etc.

PS.: I'm setting "Priority" to minor, because tomcat-7.0.0-rc4 is not released yet, and after downgrade to tomcat-6.0.26 everything works.
PS2.: I'm not 1000% sure, that my tomcat is configured correctly, I'm just experimenting with tomcat 7 branch. But other applications (like for example Atlassian JIRA) works.