docker containers doesn't work; dropped SSH connection

The problem affecting at least Ubuntu 20.04.

After last kernel update to

~# uname -a
Linux hostname 5.13.0-1030-gcp #36~20.04.1-Ubuntu SMP Fri Jun 3 15:33:42 UTC 2022 x86_64 x86_64 x86_64 GNU/Linux

Docker stopped working normally.

For example, trying to start simple Grafana container:
~# docker run -d -p 3000:3000 grafana/grafana
e9a7b31b365035051332ff6b1895cc73eebae7f679700568d9cf48e3dcf53381
root@hostname:~# client_loop: send disconnect: Broken pipe

After trying to start docker-container also SSH connection are dropped.
And unfortunately container doesn't start at all.

Tried to use older docker-ce versions but the same result.
Only one thing cures that behavior, dropping kernel version to
Linux hostname 5.13.0-1027-gcp #32~20.04.1-Ubuntu SMP Thu May 26 10:53:08 UTC 2022 x86_64 x86_64 x86_64 GNU/Linux

Also found the same problems with a different docker-images.

docker-ce version:
Docker version 20.10.17, build 100c701

And `docker info` (just in case)
Client:
 Context: default
 Debug Mode: false
 Plugins:
  app: Docker App (Docker Inc., v0.9.1-beta3)
  buildx: Docker Buildx (Docker Inc., v0.8.2-docker)
  scan: Docker Scan (Docker Inc., v0.17.0)

Server:
...
 Server Version: 20.10.17
 Storage Driver: overlay2
  Backing Filesystem: extfs
  Supports d_type: true
  Native Overlay Diff: true
  userxattr: false
 Logging Driver: journald
 Cgroup Driver: cgroupfs
 Cgroup Version: 1
 Plugins:
  Volume: local
  Network: bridge host ipvlan macvlan null overlay
  Log: awslogs fluentd gcplogs gelf journald json-file local logentries splunk syslog
 Swarm: inactive
 Runtimes: io.containerd.runc.v2 io.containerd.runtime.v1.linux runc
 Default Runtime: runc
 Init Binary: docker-init
 containerd version: 10c12954828e7c7c9b6e0ea9b0c02b01407d3ae1
 runc version: v1.1.2-0-ga916309
 init version: de40ad0
 Security Options:
  apparmor
  seccomp
   Profile: default
 Kernel Version: 5.13.0-1030-gcp
 Operating System: Ubuntu 20.04.4 LTS
 OSType: linux
 Architecture: x86_64
 CPUs: 2
 Total Memory: 7.763GiB
 Name: hostname
 Docker Root Dir: /var/lib/docker
 Debug Mode: false
 Username: user
 Registry: https://index.docker.io/v1/
 Labels:
 Experimental: true
 Insecure Registries:
  127.0.0.0/8
 Live Restore Enabled: false