Mounjaro (tirzepatide) side effects & how to take care of them A information with regards to the Mounjaro side effects, what side effects you need to expect and the way to deal with the side effects of tirzepatide.The GlucoRx Carepoint pen needles are created in many different unique lengths. These lengths contain 4mm, 5mm, 6mm, 8mm, 10mm and 12mm.