Also certain that is thyme.
In one of my old 1950s gardening books, it has this.
Thyme, as a creeper can be used between pathways and crazy paving, creating a carpet of colour.
Walking over it will not stunt the growth.
Best grown in semi shade or full sun.
Produces blooms of red, rose, white and purple (lavender) flowers from early Spring to Summer.
Grows to a height of one inch and spreads to two feet over the ground.