diff --git a/.travis.yml b/.travis.yml
index 55974e6..e0f8d34 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -3,8 +3,7 @@ cache: npm
 notifications:
   email: false
 node_js:
-  - 8.10
-  - 10
+  - 10.12
   - 12
   - 14
   - node
diff --git a/best-practices.js b/best-practices.js
index 9b2a3e6..d5c8a9c 100644
--- a/best-practices.js
+++ b/best-practices.js
@@ -8,6 +8,7 @@ module.exports = {
     complexity: ['error', 14],
     'consistent-return': 'error',
     'default-case': 'error',
+    'default-case-last': 'error',
     'default-param-last': 'off',
     'dot-notation': 'error',
     eqeqeq: 'off',
diff --git a/es6/best-practices.js b/es6/best-practices.js
index 1cbf485..ef304fc 100644
--- a/es6/best-practices.js
+++ b/es6/best-practices.js
@@ -3,6 +3,7 @@ module.exports = {
   rules: {
     'no-class-assign': 'error',
     'no-duplicate-imports': 'error',
+    'no-restricted-exports': 'off', // not applicable for a config preset (should be configured only in projects)
     'no-restricted-imports': 'off', // not applicable for a config preset (should be configured only in projects)
     'no-useless-computed-key': 'error',
     'no-useless-constructor': 'error',
diff --git a/package.json b/package.json
index b7b357c..adbd01a 100644
--- a/package.json
+++ b/package.json
@@ -49,12 +49,12 @@
     "webpack": "^4.44.0"
   },
   "peerDependencies": {
-    "eslint": ">=6"
+    "eslint": "^7.0.0"
   },
   "devDependencies": {
     "@testing-library/dom": "^7.21.5",
     "@testing-library/jest-dom": "^5.11.1",
-    "eslint": "^6.8.0",
+    "eslint": "^7.5.0",
     "eslint-find-rules": "^3.6.0",
     "kcd-scripts": "^6.2.4",
     "npm-run-all": "^4.1.5",
@@ -69,7 +69,7 @@
     "dist"
   ],
   "engines": {
-    "node": ">=8.10",
+    "node": "^10.12.0 || >=12.0.0",
     "npm": ">=6",
     "yarn": ">=1"
   }
diff --git a/possible-errors.js b/possible-errors.js
index a290a14..5de1717 100644
--- a/possible-errors.js
+++ b/possible-errors.js
@@ -34,6 +34,7 @@ module.exports = {
     'no-unreachable': 'error',
     'no-unsafe-finally': 'error',
     'no-unsafe-negation': 'error',
+    'no-useless-backreference': 'error',
     'require-atomic-updates': 'off',
     'use-isnan': 'error',
     'valid-typeof': 'error',