Yes, you can see the codes tracked in Advertiser Dashboard.
On DCMnetwork, Navigate to Reports > Conversion Report
Please choose a timeframe and use the filter SUB_ID 5, and run the report. SUB_ID 5 passes the code used by the user/customer during purchase on your site. This is how you can have a look at the codes used by the customers for each order.
However you will not be able to see the codes you share with us on the Dashbaord because we share them with our sub-affiliates via email.
For additional information on advertiser dashboard you can refer to: How Advertiser Interface Works