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Knowing how a Universal Turing Machines works and its capabilities, is it possible to obtain the collection M = {M0 , M1 , M2 , M3, … } of all possible Turing Machines?

If so, can we prove that a language L = {wj |wj not accepted by Mj } is not accepted by the Universal Turing Machine?

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Enumerating all the possible TMs is a boring programming exercise. We do not need to use the UTM at all here -- we only have to generate the representation of all TMs and output it, using the chosen encoding of TMs as words.

The UTM does not accept your language $L$ since it accepts another language, namely $\{\langle M,w\rangle \ |\ \mbox{$M$ accepts $w$}\}$.

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