Taxes is really a simple math problem. It's the rules that make it complicated, but the math is simple. If you have $110 withholding ($5,720 per year) and you get a refund of $247, that means your actual tax was $5,473.
If you wanted a larger refund, you would have more taken out each week, but that would mean you have less to spend each week. It would be like setting up a forced savings account, where you pay extra to the IRS, so they can send it back to you as a lump sum. But the IRS doesn't pay interest. Better to save on your own, unless you completely lack the discipline.
Or, you can increase your refund by reducing the tax you owe, such as by making tax-deductible contributions to an IRA, or pre-tax contributions to a workplace 401k, or donations to charity. But again, you would have less money to spend on other items of daily living.
