Although the question doesn’t make it clear whether the poster wishes a name to use in his code (which would be off-topic, and depend on the names already taken for data structures in the programming language) or to use in user instructions or documentation, I will make a linguistic suggestion based on a precedent where there is a vowel change.
If Bytes are lots of Bits, then:
A Bitch might be a suitable word for lots of Batches
(Or unsuitable, but that’s life, as they say.)
This would also have the advantage of allowing a further level of complexity by another vowel change:
A Butch could be used for lots of Bitches
Footnote
“Lots of” may be regarded by non-informaticians as poor style, but in programming almost every word you can think of for a collection of objects (that too) already has a specific meaning. However this suggests an alternative approach, using the simple vernacular, rather than Latin or Greek, to form a prefix:
lota might be a suitable general-purpose prefix, e.g. a lota-batch
And then:
for a further level of complexity one could use wota, e.g. a wota-lota-batch
However an internet search suggests that in some parts of the world there might be cultural resistance to lota.