The Bible teaches us what is the spiritual intelligence in practice, with two very clear characters: King Solomon and the Good Samaritan:
1) King Solomon asks God for intelligence in the book of Kings:
"At Gibeon the Lord appeared to King Solomon during the night in a dream, and God said, "Ask for whatever you want me to give you". Solomon answered:...So give your servant a heart that knows how to listen to govern your people and to distinguish between right and wrong. The Lord was pleased that Solomon had asked for this. So God said to him:..I will give you a wise and understanding heart", 1 Kings 3:1-15
Solomon asks God the listening, that is, the ability to know how to listen in difficult situations and also the ability to discern, that is, to separate good from evil, and with this request God gives him another gift, God gives him an understood heart, that is, the ability to reach and grasp with the intelligence the truths of God and with it, the ability to contemplate him, Jesus explains this in another way: "No one can see the Kingdom of God unless they are born again", John 3 :3.
This request of King Solomon becomes into a famous case of study, the case of King Solomon and the two prostitutes, in 1 Kings 3: 16-18:
"Now two prositutes came to the king and stood before him. One of them said, "Oh, my Lord. This woman and I live in the same house, and I had a baby while she was there with me. The third day after my child was born, this woman also had a baby. We were alone; there was no one in the house but the two of us. During the night this woman's son died because she lay on him. So she got up in the middle of the night and took my son from my side while I your servant was asleep. She put him by her breast and put her dead son by my breast. The next morning, I got up to nurse my son - and he was dead! But when I looked at him closely in the morning light, I saw that it wasn't the son I had borne." The other woman said, "No! the living one is my son; the dead one is yours". But the first one insisted, No! the dead one is yours; the living one is mine". And so they argued before the king.
The king said, "This one says, "My son is alive and your son is dead", while that one says, "No! Your son is dead and mine is alive". Then the king said, "Bring me a sword". So they brought a sword for the king. He then gave an order: "Cut the living child in two and give half to one and half to the other". The woman whose son was alive was deeply moved out of love for her son and said to the king, "Please, my lord, give her the living baby! Don't kill him!" But the other said, "Neither, I nor you shall have him. Cut him in two!" Then the king gave his ruling: "Give the living baby to the first woman. Do not kill him; she is his mother." When all Israel heard the veredict the king had given, they held the king in awe, because they saw that he had wisdom from God to administer justice".
The book of Revelations teach us the importance of the spiritual gift of knowledge
"This calls for wisdom. Let the person who has insight calculate the number of the beast, for it is the number of a man. That number is 666." Revelations 13:18
2) Spiritual intelligence, is not only understanding, wisdom and discernment, it is also empathy with others:
"A man was going down from Jerusalem to Jericho, when he was attacked by robbers. They stripped of his clothes, beat him and went away, leaving him half dead. A priest happened to be going down the same road, and when he saw the man, he passed by the other side. So too, a levite, when he came to the place and saw him, passed by the other side. But a samarithan, as he traveled, came where the man was; and when he saw him, he took pity on him. He went to him and bandage him wounds, pouring on oil and wine. Then he put the man on his own donkey, brought him to an inn and took care of him. The next day he took out two denarii and gave them into the innkeeper. "Look after him" he said, "and when I return, I will reimburse you for any extra expense you may have" Which of these three do you think was a neighbor to the man who fell into the hands of the robbers?", Luke 10:25-37
The parable explains that we sin like the Levite and the Pharisee, or live righteously as the good Samaritan. The good Samaritan acts according to the spiritual gift of righteousness: "do unto others as you would have them do unto you", Matthew 7:12. The difference between the sin and the righteousness is empathy, the ability to place ourselves in the other, empathy is another practical form of intelligence.