Prime p₀= 2221410193461492749 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 310 2 16 2 10 2 94 2 28 2 40 2 (?)
a_n: 0 2 312 314 330 332 342 344 438 440 468 470 510 512
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: 512
Found by: Penguin
db: batch=81, k=14, 310 16 10 94 28 40

SPT(16)	2221408961027314291	0 6 22 28 46 52 102 112 126 136 186 192 210 216 232 238	-1232434178458
TPT(14)	2221409153377126511	0 2 36 38 78 80 108 110 240 242 360 362 366 368	-1040084366238
STPT(10)	2221409279216095217	0 2 30 32 42 44 54 56 84 86	-914245397532
SPT(18)	2221409497388697961	0 60 76 108 132 156 186 198 232 366 400 412 442 466 490 522 538 598	-696072794788
SPT(16)	2221409583337487047	0 30 112 162 180 186 226 390 406 570 610 616 634 684 766 796	-610124005702
SPT(13)	2221410106371743447	0 6 24 30 66 84 90 96 114 150 156 174 180	-87089749302
STPT(10)	2221410298783153727	0 2 30 32 42 44 54 56 84 86	105321660978
STPT(10)	2221410360938807219	0 2 18 20 30 32 42 44 60 62	167477314470
SPT(16)	2221410407517236651	0 2 6 36 56 122 206 210 212 216 300 366 386 416 420 422	214055743902
STPT(10)	2221410408798150671	0 2 6 8 48 50 90 92 96 98	215336657922
SPT(16)	2221410486896530619	0 54 60 104 110 132 140 180 182 222 230 252 258 302 308 362	293435037870