No one a idea why he didtn eat the eggs?

Did he only eat alpha eggs?

The Creature Guide says just fertilized eggs, but if im wrong or the guide i would be happy to know it,

I never tried to tame one, but if it's like vanilla, try with fertilized rock drake eggs, and remember, that it only works if you throw them out from your own inventory. If i rmember right, you could use generic fertilizez eggs as aberration came out, but they fixed it soon, and only rock drake works now. Maybe that's your problem.

Thing about the basilisk is that its really hard to get a perfect tame due to their AI. I tried taming a 203 alpha basilisk with rockdrake eggs and it lost alot of taming effectiveness mainly due to him going underground after losing aggro

Thanks for the information, i try it next time if i found a new one.