Two goals from Thomas Muller and a strike apiece from Arjen Robben and Mario Gomez secured a memorable victory at the Allianz Arena and have Bayern with one foot in the final, and Heynckes was thrilled at the all-around effort from his charges.
"We have played extraordinary football all year," Heynckes told Sky Sport Germany. "The appetite for success is huge after the last two years.
"My team made our tactics work brilliantly. We ran and we fought, and that's down to our strength and class."
With Bayern having already wrapped up the Bundesliga and booked its place in the DFB Pokal final, Heynckes is well on course to compete for a historic treble before being replaced by former Barca boss Pep Guardiola in the summer.