Support the latest vm_service (#1410)

diff --git a/pkgs/test/CHANGELOG.md b/pkgs/test/CHANGELOG.md
index cfc1793..1cd0d60 100644
--- a/pkgs/test/CHANGELOG.md
+++ b/pkgs/test/CHANGELOG.md
@@ -1,3 +1,8 @@
+## 1.16.0-nullsafety.16
+
+* Support the latest vm_service release (`6.x.x`).
+
+
 ## 1.16.0-nullsafety.15
 
 * Support the latest coverage release (`0.15.x`).
diff --git a/pkgs/test/pubspec.yaml b/pkgs/test/pubspec.yaml
index 18a5220..9ec70d0 100644
--- a/pkgs/test/pubspec.yaml
+++ b/pkgs/test/pubspec.yaml
@@ -1,5 +1,5 @@
 name: test
-version: 1.16.0-nullsafety.15
+version: 1.16.0-nullsafety.16
 description: A full featured library for writing and running Dart tests.
 homepage: https://github.com/dart-lang/test/blob/master/pkgs/test
 
@@ -32,7 +32,7 @@
   yaml: ">=2.0.0 <4.0.0"
   # Use an exact version until the test_api and test_core package are stable.
   test_api: 0.2.19-nullsafety.6
-  test_core: 0.3.12-nullsafety.14
+  test_core: 0.3.12-nullsafety.15
 
 dev_dependencies:
   fake_async: ^1.0.0
diff --git a/pkgs/test_core/CHANGELOG.md b/pkgs/test_core/CHANGELOG.md
index a6b3c2f..32566e1 100644
--- a/pkgs/test_core/CHANGELOG.md
+++ b/pkgs/test_core/CHANGELOG.md
@@ -1,3 +1,7 @@
+## 0.3.12-nullsafety.15
+
+* Support the latest vm_service release (`6.x.x`).
+
 ## 0.3.12-nullsafety.14
 
 * Support the latest coverage release (`0.15.x`).
diff --git a/pkgs/test_core/pubspec.yaml b/pkgs/test_core/pubspec.yaml
index ad94328..f445ff1 100644
--- a/pkgs/test_core/pubspec.yaml
+++ b/pkgs/test_core/pubspec.yaml
@@ -1,5 +1,5 @@
 name: test_core
-version: 0.3.12-nullsafety.14
+version: 0.3.12-nullsafety.15
 description: A basic library for writing tests and running them on the VM.
 homepage: https://github.com/dart-lang/test/blob/master/pkgs/test_core
 
@@ -25,7 +25,7 @@
   source_span: '>=1.8.0-nullsafety <1.8.0'
   stack_trace: '>=1.10.0-nullsafety <1.10.0'
   stream_channel: ">=2.1.0-nullsafety <2.1.0"
-  vm_service: '>=1.0.0 <6.0.0'
+  vm_service: '>=1.0.0 <7.0.0'
   yaml: ">=2.0.0 <4.0.0"
   # matcher is tightly constrained by test_api
   matcher: any