Check this out:

https://en.wikipedia.org/wiki/Centipede

Laboratory feeding trials support that they will feed as generalists, taking almost anything that is soft-bodied and in a reasonable size range. Earthworms may provide the bulk of diets for geophilomorphs, since they burrow through the soil and earthworm bodies would be easily pierced by their venom claws. Geophilomorphs probably cannot subdue earthworms larger than themselves, so smaller earthworms may be a substantial proportion of their diet.

I would clean out the tank including spraying especially the inside with a garden hose to rid of egg deposits. Then start anew.

Spray the outside to make it more slippery and harder for new centipedes to climb in.