Prime p₀= 1588331115875695271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 208 2 16 2 28 2 106 2 88 2 (?)
a_n: 0 2 90 92 300 302 318 320 348 350 456 458 546 548
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: 548
Found by: vanos0512
db: batch=78, k=14, 88 208 16 28 106 88

STPT(10)	1588330447590130859	0 2 18 20 30 32 42 44 60 62	-668285564412
SPT(16)	1588330484380231847	0 14 24 30 36 80 126 132 164 170 216 260 266 272 282 296	-631495463424
SPT(16)	1588330573799113073	0 14 26 66 96 140 144 164 210 230 234 278 308 348 360 374	-542076582198
TPT(14)	1588330608366677447	0 2 24 26 114 116 150 152 180 182 252 254 264 266	-507509017824
SPT(16)	1588330620403039451	0 38 68 72 116 152 180 210 278 308 336 372 416 420 450 488	-495472655820
SPT(18)	1588330630291322413	0 34 66 94 96 100 124 144 168 226 250 270 294 298 300 328 360 394	-485584372858
SPT(16)	1588331495763416189	0 14 44 62 78 128 132 188 234 290 294 344 360 378 408 422	379887720918
STPT(10)	1588331958471215057	0 2 60 62 72 74 84 86 144 146	842595519786
SPT(16)	1588332157353991121	0 50 78 90 116 128 198 212 216 230 300 312 338 350 378 428	1041478295850
SPT(16)	1588332355114212179	0 2 24 30 50 90 108 132 170 194 212 252 272 278 300 302	1239238516908
STPT(10)	1588332841385889449	0 2 12 14 90 92 168 170 180 182	1725510194178