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Yeah, I know this is kind of late, but as promised (or threatened) I have finished my 15f* calculation and here are the results, first positions at exactly that distance (adding a few minor numbers):

 d  (mod M + inv)*     mod M + inv       mod M             positions
--- --------------- ---------------- ---------------- -----------------
 0                1                1                1                 1
 1                2                2                2                18
 2                8                8                9               243
 3               48               48               75              3240
 4              517              509              934             43239
 5             6359             6198            12077            574908
 6            81541            80178           159131           7618438
 7          1067047          1053077          2101575         100803036
 8         14034826         13890036         27762103        1332343288
 9        184907170        183339529        366611212       17596479795
10       2437753739       2419418798       4838564147      232248063316
11      32135500721      31909900767      63818720716     3063288809012
12     423434369503     420569653153     841134600018    40374425656248
13    5575030719304    5538068321152   11076115427897   531653418284628
14   73286135656774   72805484795034  145610854487909  6989320578825358
15  957963000510751  951720657137855 1903440582318440 91365146187124313