'close kinship' is correct and usable in written English.
You could use it to refer to a strong bond of relationship between two or more people. For example, "The family celebrated their close kinship with a big reunion dinner."
Due to their close kinship, he remained closely tied to the royal court despite failing to gain control of any part of the kingdom.
The central characters show an especially close kinship.
"But they would be unjust to hold this close kinship against this novel.
Given their close kinship, is it possible that Maserati will steal customers from Ferrari? Probably not.
In earlier years they had a close kinship based on a shared passion for art.
Inscriptions in the southern Piceno, however, seem to exhibit a close kinship with the Umbro-Sabellic dialects.
From the 19th century, Universalists felt a close kinship with Unitarians, since the two groups shared many views and practices.
In his foreword, John Krich calls Guariglia's photographs "an act of visual preservation, a catalog of close kinship-like living, with no sordid detail or curious impulse spared, at once touchingly intimate and strangely open, bred by conditions soon to be reduced to rubble".
The present research further confirms that cultivated Upland cotton has very narrow genetic diversity and close kinships possibly because of a few bottlenecks occurred during the domestication process as reported previously [ 3, 48– 50].
This fits in with other evidence that indicates a closer kinship for Nothofagus with Betulaceae than with Fagaceae.
Yet despite her love of pop culture, she clearly feels a closer kinship to the art of the ancient world than to the art of today.
