Comparative and superlative form of new

Newer and the newest or newwer and the newwest?
If an adjective ends with a consonant and if there is a vowel before the consonant , the last letter of the adjective is written double.If so, is it newwer and the newwest?If not,why?
Thank you very much!

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‘W’ is not a consonant sound here.

New, newer, newest
Slow, slower, slowest
Gay, gayer, gayest
etc.
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We have no ‘W’ sound in Turkish and I always thought that w is a consonant.Thanks for your explanation.

I always thought that w is a consonant.

It is, but not in this instance.