Assume you are duplicating a block in a model using add_block (but not add_block() from a library source), the new block name will always be suffixed with a number starting from 1 and it is available.
sb='untitled/Gain';
hBlock = add_block(sb, sb, 'MakeNameUnique', 'on');
NewName=get(hBlock,'Name');
Offset=regexp(NewName,'\d+','match');
Offset=Offset{end};
Position=get(hBlock,'Position');
set(hBlock,'Position',Position+10*str2double(Offset));
If the source block name starts as e.g. 'untitled/Ga123in5', it should also work. I don't think you care how much is the offset as long as it distinguish from other blocks. Make the linear scale larger could also help.
