NO COMMERCIAL AIRCRAFT SHOULD GO WITHIN 100nm LATERALLY of CB - ICTZ (Tropical Cumulo-Nimbus clouds) activity.....for any reason...FULL STOP. NEVER, EVER, don't even think about it.... or trying to overfly it. That is from MANY years experience and many grey hairs of wisdom!!
I guess you never fly through Texas with thunderstorms as big then. You would have to deviate over Oklahoma with those parameters.