DB snapshot updates failing during update - SQL Server 2005 SP4 EE 64bit- error 665

We're able to create a snapshot of a 1.4TB database by using the following SQL commands:

use master
go

CREATE DATABASE tws_prod_snapshot ON
( NAME = tws_prod, FILENAME =
'E:\MSSQL\DATA\tws_prod_ss_file.ss' )
AS SNAPSHOT OF tws_prod;
GO

But we're getting an error message when updating the source tws_prod. The drive we're using has 500G of free space. We've run DBCC CHECKDB and there are no errors in the file. What should we try next? Thanks, Steve

Message
The operating system returned error 665(The requested operation could not be completed due to a file system limitation) to SQL Server during a write at offset 0x00010e04430000 in file 'E:\MSSQL\DATA\tws_prod_ss_file.ss'. Additional messages in the SQL Server error log and system event log may provide more detail. This is a severe system-level error condition that threatens database integrity and must be corrected immediately. Complete a full database consistency check (DBCC CHECKDB). This error can be caused by many factors; for more information, see SQL Server Books Online.