RT-TDDFT basis set convergence


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I am running a RT-TDDFT simulation to study charge transfer between the molecules of a H2 dimer with an extra electron on the bottom H2 molecule. The input file is

title "H2 dimer"

start H2
echo

geometry "mol1" units angstroms noautosym nocenter noautoz
H    0.000   0.000   0.000
H    0.740   0.000   0.000
end

geometry "mol2" units angstroms noautosym nocenter noautoz
H    0.000   0.000   1.800
H    0.740   0.000   1.800
end

geometry "dimer" units angstroms noautosym nocenter noautoz
H    0.000   0.000   0.000
H    0.740   0.000   0.000
H    0.000   0.000   1.800
H    0.740   0.000   1.800
end

BASIS spherical
* library cc-pVDZ
END

set geometry "mol1"
charge -1
dft
  odft
  mult 2
  vectors input atomic output "mol1.movecs"
end
task dft energy

set geometry "mol2"
charge 0
dft
  odft
  mult 1
  vectors input atomic output "mol2.movecs"
end
task dft energy

set geometry "dimer"
charge -1
dft
  odft
  mult 2
  vectors input fragment "mol1.movecs" "mol2.movecs" output "dimer.movecs"
  noscf
end
task dft energy

rt_tddft
  tmax 200.0
  dt 0.2
  load vectors "dimer.movecs"
  print *
end
task dft rt_tddft


I have tried many basis sets from sto-2g to aug-cc-pVTZ and the results are very different:

H2.png

Shouldn't the results converge as we go to bigger basis sets? If not, how could we be certain that our basis set is the right one for the particular chemical system?

tcne.png

However, i also tried the tetracyanoethylene dimer example on your website with multiple basis sets, and the results are in very good agreement, especially if one considers how different are the basis sets used. So, the question is why in my very simple example above RT-TDDFT fails to produce consistent results with basis set changes? Is there any parameter that could help convergence, or am i totally missing something here?