Uniform Polyiamond Stacks

A uniform polyiamond stack is a figure formed by joining copies of a polyiamond, having the same even contiguous length of cells in every row. In other words, the rows form congruent parallelograms. Thanks to Joyce Michel for suggesting this characterization.

Such a figure is compatible with every polyiamond with height 1. It is equivalent to a tiling of a cylinder, but not every cylindrical tiling defines a uniform stack.

Here are minimal known uniform stacks for polyiamonds of orders 1 through 10. If you find a smaller solution or solve an unsolved case, please write.