The parents weren't married:

Turkish police Friday detained an unmarried mother and six other people near Istanbul for their suspected role in the so-called “honor killing” of a 2-day-old baby girl, state news agency Anatolian said.

The baby was suffocated by her grandmother after the family learned the 25-year-old mother became pregnant out of wedlock, Anatolian said.

“My family decided to kill my baby,” the mother told the police, according to Anatolian. “My 55-year-old mother choked the baby with a cloth. Then, my brothers buried the baby in a hole in the garden and covered the hole with cement.”

Police found the body after receiving an anonymous phone call.

Among those detained were also a doctor and the doctor’s secretary, They allegedly had agreed not to register the baby’s birth in return for an undisclosed amount of money.

The baby’s father is doing his military service and was not involved in the incident.

More here , here and here.
 
Absolutely terrible. As Incognito says in the link above:

A total innocent, that had no choice in the matter of her birth, killed in cold-blood by her shameful, shame-filled family. A family that could kill a child as easily as if she was a dying dog you shoot to put it out of its misery, and bury in the backyard. Unceremoniously dumped into a hole. It’s unconscionable. Apparently, the murder would have gone undetected had it not been for an anonymous tip to the police.

With actually no remorse. And in Istambul outskirts, not in some "far away" place in Turkish countryside.