If you're talking about weight or pressure:
* Heavily
* Strongly
* Forcefully
* Hard
If you're talking about intensity or degree:
* Heavily
* Strongly
* Deeply
* Seriously
* Intensely
If you're talking about a manner of doing something:
* Carelessly
* Roughly
* Harshly
* Vigorously
If you're talking about a feeling or emotion:
* Strongly
* Deeply
* Passionately
* Intensely
Example:
* Lightly: He lightly touched her cheek.
* Opposite: He forcefully pushed her away.
To choose the best opposite, consider the specific situation and what you want to convey.