Drupal 8.0.0 beta 12. More info: https://www.drupal.org/node/2514176

core/profiles/minimal/config/install/block.block.stark_admin.yml

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+id: stark_admin
+theme: stark
+weight: 1
+status: true
+langcode: en
+region: sidebar_first
+plugin: 'system_menu_block:admin'
+settings:
+  label: Administration
+  provider: system
+  label_display: visible
+  level: 1
+  depth: 0
+dependencies:
+  config:
+    - system.menu.admin
+  module:
+    - system
+  theme:
+    - stark
+visibility: {  }

core/profiles/minimal/config/install/block.block.stark_login.yml

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+id: stark_login
+theme: stark
+weight: 0
+status: true
+langcode: en
+region: sidebar_first
+plugin: user_login_block
+settings:
+  label: 'User login'
+  provider: user
+  label_display: visible
+dependencies:
+  module:
+    - user
+  theme:
+    - stark
+visibility: {  }

core/profiles/minimal/config/install/block.block.stark_messages.yml

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+id: stark_messages
+theme: stark
+weight: 0
+status: true
+langcode: en
+region: highlighted
+plugin: system_messages_block
+settings:
+  id: system_messages_block
+  label: 'Status messages'
+  provider: system
+  label_display: '0'
+dependencies:
+  module:
+    - system
+  theme:
+    - stark

core/profiles/minimal/config/install/block.block.stark_tools.yml

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+id: stark_tools
+theme: stark
+weight: 0
+status: true
+langcode: en
+region: sidebar_first
+plugin: 'system_menu_block:tools'
+settings:
+  label: Tools
+  provider: system
+  label_display: visible
+  level: 1
+  depth: 0
+dependencies:
+  config:
+    - system.menu.tools
+  module:
+    - system
+  theme:
+    - stark
+visibility: {  }