However, you could use more general collective nouns like:
* Collection of tins
* Set of tins
* Stack of tins
* Pile of tins
* Assortment of tins
You could also use a descriptive noun based on the contents of the tins, such as:
* A shelf of canned goods
* A box of soup cans
* A crate of paint tins
Ultimately, the best collective noun will depend on the specific context.