New record achieved: 5321 blocks. But then, the network seems to be stuck for some reason (while my own minority chain is still going forward). I will leave it running, and see, if it will just move forward, or if it is really stuck, and will my fork produce more blocks (even if chainwork will be lower).

Current chainwork:
user@st> block 0000000000000000000036ea7e48a6eb87d12924fac5f89ae42ce5dc0fdecb42
{
"version": 1,
"hash": "0000000000000000000036ea7e48a6eb87d12924fac5f89ae42ce5dc0fdecb42",
"height": 5321,
"confirmations": 1,
"time": 1231073167,
"prev_hash": "000000000000000000000c830d7992039735cc3dacceb776926e3a97978f409a",
"chain_work": "0000000000000000000000000000000000000000001da5d7d629256838dcd33d",
"target": "17082528",
"nonce": 519477280,
"merkle_root": "d6b7df6161d7c7c54b1cd7f9a3dd465d9d1bcf9447b29b38e49aa7164df49a58"
}