unicode points are shifted

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Hello,
  I'm plotting errorbars with points, and I need more pointtypes then 
are presented in gnuplot.
I tried adding unicode characters like "with points pt "\U+25A2", it 
works,  but points are shifted in the "y" direction (relative to 
errorbars centers).
I have attached the script and the resulting picture. On the attached 
picture points are shifted down. I'm actually using tikz terminal (I 
need latex support), and with tikz terminal points are shifted upwards.
Is there any way to fix this vertical shift?
Thank you!

P.S. I could shift points manually by changing their "y" coordinates, 
but I'm plotting a lot of graphs with different scales in cycle (using c++),
so manually shifting "y" coordinates is out of question (unless there is 
some option to shift points in absolute units (like milimeters)).

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