A new chain on an old block usually slips, whatever rear mech you have.
In the photo above, your second to top sprocket is visibly worn out - I would not have expected it to work.
However, you say it is the larger sprockets that slip. I'm no expert on Simplex, but I feel that the arm of the mech is too far back and this may be causing inadequate wrap of the chain round the sprockets. An immediate and simple adjustment would be to move the wheel to the front of the fork end.
For what it's worth, my own experience with a TdF mech was that, given a new block and chain, it showed no tendency to slip or jump, the only problem I had was to get it to engage the bottom sprocket reliably.
A new chain on an old block usually slips, whatever rear mech you have.
In the photo above, your second to top sprocket is visibly worn out - I would not have expected it to work.
However, you say it is the larger sprockets that slip. I'm no expert on Simplex, but I feel that the arm of the mech is too far back and this may be causing inadequate wrap of the chain round the sprockets. An immediate and simple adjustment would be to move the wheel to the front of the fork end.
For what it's worth, my own experience with a TdF mech was that, given a new block and chain, it showed no tendency to slip or jump, the only problem I had was to get it to engage the bottom sprocket reliably.