Statues will not increase the Boom Mine's damage dealt.
When Boom Mines are triggered, they explode instantly unlike the regular Mines which explode after a brief delay.
Offensive Strategy
Do not let your Troops (especially your most valuable ones) step on a Boom Mine, as they are very deadly! However, if your Troops have at least 1 tile spacing, the Boom Mine will only damage or destroy 1 of them.
Place Boom Mines away from normal Mines and other Boom Mines, as they are capable of dealing with a group of troops alone.
Having some distance between Boom Mines can also prevent attackers from triggering all of them through a Barrage.
Hiding your Mines/Boom Mines behind tall buildings such as Sniper Towers can make them a surprise to your attacker and help you win your defense.
You can hide your Boom Mines behind Magma statues or any Masterpieces as their heads can hide Boom Mines. It is advised to put behind Magma Masterpieces.
Upgrade Differences
The Boom Mine does not change appearance when upgraded; the only difference is increased damage.