Here are two likely solutions:
If you are using firmware 2.02, upgrade to 2.03beta3. The difference is that 2.02 doesn't apply tool offsets in the tpost file. Also, in tpost3.g, do a small X or Y move near the start, which should cause the Z coordinate to be corrected for tool offset at the same time.
In tpost3.g use G91 then G1 Z5 (for example) to raise the head 5mm. The head position will be restored automatically before it resumes the print.