It's not correct. The correct version of the above sentence is
This indiscipline
and breach of trust clearly
violate the code of conduct followed by every Bank employee.
In general, if two nouns/pronouns are connected with "and" and act as subject, then correct verb form is plural. However, there are cases where the usage of "and" is considered singular. For instance-- with each and every
Every boy
and girl of the class
participates in the event.
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