"Settled on the Anatolian high plateau, the Hittite peoples formed a network of small towns and fortified outposts called awari. They took advantage of the region’s mountainous topography to develop a particularly effective style of defensive architecture. The majority of Hittite urban structures were fortified, regardless of their size. Built high on a plateau or hill, they followed a precise plan and layout. Towns were surrounded by a line of fortifications made of two parallel walls filled with rubble and fieldstone. The base and foundations of these walls were built with large blocks of stone, which supported a structure of wood beams and mud bricks. The sites at greatest risk of external attacks had passageways under the ramparts to quickly fight off the besieging forces."

This is the description of the district found in the Encyclopedia. As most of you would probably know, the Awari is the Hittites's EQ, a slightly better version of an outpost, and quite a not so long time ago it was buffed. Currently it offers:

• +3 Money
• +10 District Fortification
• Automatically upgrades regular Outpost
• Can be used as a Land Spawn Point for neighbor Cities
• +20 Health Regeneration on Unit in Territory
• Is: Land Unit Spawn.
• Is fortified.

As a district is it good for military purposes: it offers a decent amount of gold and heals units faster (and a little logistic advantage but I have never had the chance to use it), but I don't really see many CS bonus; anyway, I see the main "weak point" of the Awari the fact that it is just an outpost replacement and it can't be placed in regular territories.

Here is a mine suggestion of a possible rework:

• +2 Money on Strategic Resource Deposit (it applies just on the deposit in the same territory of the district)
• +2 Industry on Strategic Resource Deposit (it applies just on the deposit in the same territory of the district) 
• +10 District Fortification
• Automatically upgrades regular Outpost
• Can be used as a Land Spawn Point for neighbor Cities
• +1 Combat Strength in combat for Units in or adjacent to the District
• Is: Land Unit Spawn.
• Is fortified.
• (It shares its yields with neighboring cities)

(I am suggesting to buff Strategic Resource Deposits with their EQ because hittites were renowned for breeding horses and the use of iron, although it was discovered to be not mined iron but an extracted one by a meteor)