The last of the three Heavy tank games played achievements, this is the longest and I would highly recommend trying out as many different heavy tanks as you can to get a good taste of variety and see if you want to work through any other tank trees.
This achievement itself is quite easy, just time-consuming. The earliest Heavy tanks are the French and German Tier 4 Heavies. Otherwise, you'll have to get to Tier 5 for most heavy tanks. Heavy tanks have a diamond with two lines through it by their Tier number.
Just start a game with your heavy tank, if you get destroyed you can just go straight to your garage and pick another ready heavy tank and play another match!
NOTE: Thanks to Moneyshot360 for pointing this out, it would be worth combining this achievement with either the US "The Sherminator" or the USSR's "The 122 and U" achievements. If you research the US M4 you can also research a US Heavy tank(T1 Heavy), and the Soviet tanks for that achievement are all heavy tanks so all would be progress in the Heavy tanks.
Also, if the Japanese Heavy tanks are ever added then there would be a Tier 3 Heavy tank!!