You can't use the TurboActivate static libraries with MingW. Why? Because they're compiled with and for Visual Studio.
http://www.mingw.org/wiki/Interoperability_of_Libraries_Created_by_Different_Compiler_Brands
On Windows we recommend using Visual Studio because the binaries created are faster, smaller, and more stable than what MingW generates. Plus, there are free Visual Studio editions: https://www.visualstudio.com/products/visual-studio-community-vs
If you don't want to use Visual Studio, then you can always use the dynamic version of TurboActivate.