Prime p₀= 2615835882779864597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 58 2 28 2 4 2 118 2 22 2 (?)
a_n: 0 2 54 56 114 116 144 146 150 152 270 272 294 296
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: 296
Found by: [SG-FC] hl
db: batch=82, k=14, 52 58 28 4 118 22

SPT(16)	2615834465150144503	0 6 18 70 108 118 156 196 198 238 276 286 324 376 388 394	-1417629720094
STPT(10)	2615834591947225541	0 2 6 8 48 50 90 92 96 98	-1290832639056
SPT(18)	2615834831899565681	0 6 20 72 80 122 126 182 192 230 240 296 300 342 350 402 416 422	-1050880298916
SPT(16)	2615834868473257589	0 8 20 132 168 182 188 218 264 294 300 314 350 462 474 482	-1014306607008
SPT(16)	2615835260714463107	0 6 14 74 90 150 194 264 272 342 386 446 462 522 530 536	-622065401490
STPT(10)	2615835623559761297	0 2 30 32 60 62 90 92 120 122	-259220103300
SPT(16)	2615835883164541819	0 22 34 52 78 112 150 162 250 262 300 334 360 378 390 412	384677222
STPT(10)	2615835965734553501	0 2 36 38 78 80 120 122 156 158	82954688904
TPT(14)	2615836042675818161	0 2 210 212 420 422 468 470 486 488 546 548 570 572	159895953564
TPT(14)	2615836057831833899	0 2 12 14 18 20 30 32 102 104 138 140 192 194	175051969302
SPT(18)	2615836300565613859	0 40 108 114 130 154 180 208 262 270 324 352 378 402 418 424 492 532	417785749262