St Benedict
The Cluniac Order was an offshoot of the Order of St Benedict founded in Italy in 529 AD. The first monastery was Cluny Abbey founded in 910 AD by William I, Count of Auvergne. The monks lived by the Rule of St Benedict.
See the Map of Cluniac sites in UK and France.
Royal Arms
At the Dissolution of the Monasteries there were 35 Cluniac houses in England and 3 in Scotland. Wikipedia page Cluniac priories in Britain provides more detail.
Read the article on the Cells of Lewes Priory.
Cluny Blazon