Is it wrong to marry outside my own race?

In effect we are all one race, since we all have common ancestors. God created all people in His image, and never distinguishes marriage based on race or color. But God does have rules for marriage:

Do not marry an unbeliever, for you will have problems

Marry a person of the opposite sex

Do not marry more than one person (see Did God allow polygamy in the Bible?)

Genesis 1:27 — God created man in His own image, in the image of God He created him; male and female He created them.

2 Corinthians 6:14 — Do not be bound together with unbelievers; for what partnership have righteousness and lawlessness, or what fellowship has light with darkness?

Romans 1:27 — and in the same way also the men abandoned the natural function of the woman and burned in their desire toward one another, men with men committing indecent acts and receiving in their own persons the due penalty of their error.