Prime p₀= 865999344607091867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 40 2 64 2 58 2 22 2 (?)
a_n: 0 2 84 86 132 134 174 176 240 242 300 302 324 326
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 326
Found by: RFGuy_KCCO
db: batch=73, k=14, 82 46 40 64 58 22

TPT(14)	865998013724634521	0 2 66 68 78 80 96 98 120 122 210 212 306 308	-1330882457346
SPT(16)	865998318096241199	0 20 42 122 200 218 240 270 272 302 324 342 420 500 522 542	-1026510850668
SPT(16)	865998412858487647	0 6 30 34 60 70 96 114 172 190 216 226 252 256 280 286	-931748604220
STPT(10)	865998595128982871	0 2 6 8 48 50 90 92 96 98	-749478108996
SPT(16)	865998659458895111	0 2 8 32 42 92 102 120 128 146 156 206 216 240 246 248	-685148196756
STPT(10)	865998965625223679	0 2 18 20 30 32 42 44 60 62	-378981868188
SPT(16)	865999613040303173	0 38 50 84 104 180 204 234 290 320 344 420 440 474 486 524	268433211306
STPT(10)	865999893058625399	0 2 42 44 90 92 138 140 180 182	548451533532
SPT(16)	865999930865331551	0 38 50 132 150 182 216 252 266 302 336 368 386 468 480 518	586258239684
STPT(10)	865999965520835417	0 2 30 32 42 44 54 56 84 86	620913743550
STPT(10)	866000188324648577	0 2 30 32 72 74 114 116 144 146	843717556710