Candida auris was first described in 2009, and has since caused nosocomial outbreaks, invasive infections and fungaemia across at least 19 countries in five continents. An outbreak of C. auris occurred in a specialised cardiothoracic London hospital between April 2015 and November 2016, which to date has been the largest outbreak within the UK, involving a total of 72 patients. To understand the genetic epidemiology of C. auris infection, both within this hospital and within a global context, we sequenced the outbreak isolate genomes using Oxford Nanopore Technologies and Illumina to detect antifungal resistance alleles and to reannotate the C. auris genome. Phylogenomic analysis placed the UK outbreak in the India/Pakistan clade, demonstrating an Asian origin: the outbreak showed similar genetic diversity to that of the entire clade and limited local spatiotemporal clustering was observed. One isolate displayed resistance to both echinocandins and 5-flucytosine; the former was associated with a serine to tyrosine amino acid substitution in the gene FKS1, and the latter was associated with a phenylalanine to isoleucine substitution in the gene FUR1. These mutations add to a growing body of research on multiple antifungal drug targets in this organism. Multiple differential episodic selection of antifungal resistant genotypes has occurred within a genetically heterogenous population across this outbreak, creating a resilient pathogen and making it difficult to define local-scale patterns of transmission as well as implementing outbreak control measures.