In an effort to further explore the innermost parsec-scale regions of a relativistic jet, I have begun the process of stacking radio maps obtained with the Very Long Baseline Array (VLBA) of a sample of blazars that have exhibited prominent flaring behavior. Each stacked map is carefully constructed from data collected over the course of seven years as part of the VLBA-BU-BLAZAR program at a radio frequency of 43 GHz, creating images with unprecedented dynamic range, sensitivity, and angular resolution. The stacking is done in Stokes I, Q, and U creating maps that highlight both the total and linearly polarized intensity of each jet. Some sample stacked maps are presented below, revealing previously undetected jet structures, including clear jet spine-sheath polarization morphologies.