A really fast way to solve this problem is to make a database link from the Oracle database to the MySQL database. You can create database links to non-Oracle databases. After you have created the database link you can retrieve your data from the MySQL database with a ... create table mydata as select * from ... statement. This is called heterogeneous connectivity. This way you don't have to do anything in your .net application to move the data.
Another way is to use ODP.NET. In ODP.NET you can use the OracleBulkCopy-class.
But I don't think that inserting 160k records in an Oracle table with System.Data.OracleClient should take 25 minutes. I think you commit too many times. And do you bind your values to the insert statement with parameters or do you concatenate your values. Binding is much faster.