Grimes County confirms 17 COVID-19 cases Posted in: COVID-19News Grimes County Emergency Management released two new positive COVID-19 cases Wednesday, April 29, raising the total to 17. Both new cases are females in their 40’s. One is within ZIP code 77868 and the second is from 77353. The first case of the new cases has been confirmed as community spread. The ...PLEASE LOG IN FOR PREMIUM CONTENT. Our website requires visitors to log in to view the best local news. Not yet a subscriber? Subscribe today!