Ok, here is my corrected 28-trials profile
10 million simulations using the corrected random number generator
total look
alpha point?
5 5 0.0313 no no looks
6 6 0.0491 yes look at trial 6
7 7 0.0156 no look at trial 6
8 7 0.0390 no look at trial 6
9 8 0.0273 no look at trial 6
10 9 0.0214 no look at trial 6
11 9 0.0406 no look at trial 6
12 10 0.0491 yes look at trial 6, 12
13 11 0.0295 no look at trial 6, 12
14 11 0.0417 no look at trial 6, 12
15 12 0.0356 no look at trial 6, 12
16 13 0.0326 no look at trial 6, 12
17 13 0.0424 no look at trial 6, 12
18 14 0.0491 yes look at trial 6, 12, 18
19 14 0.0495 no look at trial 6, 12, 18
20 15 0.0430 no look at trial 6, 12, 18
21 16 0.0399 no look at trial 6, 12, 18
22 16 0.0487 no look at trial 6, 12, 18
23 17 0.0491 yes look at trial 6, 12, 18, 23
24 18 0.0435 no look at trial 6, 12, 18, 23
25 18 0.0490 no look at trial 6, 12, 18, 23
26 19 0.0462 no look at trial 6, 12, 18, 23
27 20 0.0449 no look at trial 6, 12, 18, 23
28 20 0.0491 no look at trial 6, 12, 18, 23
Notes:
1. No looks allowed for trials 1 through 5