Fastcgi_cache using PHP Forum script

How to force cache almost all HTTP response like 404 and 403? This is my Nginx Config:

    fastcgi_cache_path              /tmp/nginx_fastcgi_cache levels=1:2 keys_zone=fastcgicache:200m inactive=30m;
fastcgi_cache_key               $scheme$request_method$host$request_uri;
fastcgi_cache_lock              on;
fastcgi_cache_use_stale         error timeout invalid_header updating http_500;
fastcgi_ignore_headers          Cache-Control Expires Set-Cookie;

fastcgi_cache           fastcgicache;
fastcgi_no_cache        $nocachecookie;
fastcgi_cache_valid     200 202 301 302 404 403 10m;
add_header X-Cache      $upstream_cache_status;

But 404 and 403 pages don’t have this header:

x-cache HIT or Bypass

Someone any thoughts?