By looking at the Name of your template I would say that is your Custom Template. For accssing the custom template you need to use the below code.
//This gives you only the built-in template or templates deployed using Features
foreach (SPListTemplate item in oWeb.ListTemplates)
{
Console.WriteLine(item.Name);
}
//This gives you the custom template created by you
foreach (SPListTemplate item in oSite.GetCustomListTemplates(oWeb))
{
Console.WriteLine(item.Name);
}
//So for your requirement you need to use
oSite.GetCustomListTemplates(oWeb)["TaskTemplate"]