Tinkerine 3D Printer
The issue occurring here is similar to a question asked over here. It looks as though this is a result of a hardware fault related to the stepper drivers. @DarthPixel recommended placing heatsinks on the stepper driver(s) and/or properly placed fans.



Depending on the design of your machine, some stepper drivers are going to be worked harder than others. For example, a MakerBot Replicator will work the X-Axis stepper driver more than the Z-Axis stepper driver. Therefore, you have a higher chance of overheating your X-Axis stepper driver.(Images are of A4988 Stepper Driver, not directly compatible with MakerBot Replicator)

Alternatively, I personally have seen the issue repeated by manually triggering one of the limit switches. The effects seemed to take effect on the next layer.