I recommend the lecture by Jennifer Kling (Oregon State University), linked below.
The 'agricolae' R package can assist you with the design and analysis of your alpha lattice.
You will, of course, still want to replicate the experiment.
29 x 5 may not be the most efficient or effective design, however. You may consider adding some checks to make a better design.150 entries would give you more options to choose from. Alternately, if you can drop a genotype, 144 would make a nice square lattice. As Jennifer says, "Use as large a block size as possible while maintaining homogeneity of plots within blocks."