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Spoiler for first try
I thought of first trial in a period of 1 and 0 like 10101010101010101010101010 and each time reverse the order of 2bits starting from the beginning if the difference between the previous answer and the last one is +2 that mean those 2bit become in a correct order... if it is -2 the 2bit was in correct order before the reverse... that give us 14 trials... but if it is 0 that mean the 2bit are of the same color... and that send me back to 27 trials... Ooops 
I don't find a good answer... but I thing there is something right in this way 
I don't find a good answer... but I thing there is something right in this way 
