Having a lower cT value for your gene of interest compared to tubulin means that your gene of interest is expressed at a higher level than tubulin. That's completely normal. Go ahead and analyze your data.
As long as the Ct value is consistent; that is +/- 0.5 cycles within an assay and as long as the normalised value (delta Ct = Ct GOI-Ct Tubulin) is also consistent between assays then this is valid
In addition, I have found that tubulin in tissues I have assayed does give quite low Ct values; versus other house keepers like B2 micro globulin and actin which tend to demonstrate more expected Ct values (18-20 cycles)
If your reference gene is lower than you GOI, then delta Ct = Ct GOI-Ct Tubulin gives a negative number that makes it difficult to do statistical comparisons. Any suggestions for dealing with the negative numbers?
This is why when you actually determine expresssion relative to a control by taking the delta delta Ct value X and computing 2^-(X) if you notice the exponent is -X not +X to cope with this very situation