Tony originally purchased his house in $1993$ for $$543,000.$ He sold it in $2020$ for $$770,000.$ Tony was not able to designate the property as his principal residence from $2009$ through $2015($inclusive$)$ because he claimed another property as his principal residence during that time. How much will Tony have to include in his taxable income as a result of this transaction?

a$)$ $$19,457$

b$)$ $$23,483$

c$)$ $$24,322$

d$)$ $$48,643$