Prime p₀= 1586005777341492509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 10 2 40 2 64 2 52 2 (?)
a_n: 0 2 30 32 78 80 90 92 132 134 198 200 252 254
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: 254
Found by: Icecold
db: batch=78, k=14, 28 46 10 40 64 52

STPT(10)	1586004077674983467	0 2 54 56 72 74 90 92 144 146	-1699666509042
SPT(16)	1586004281953371191	0 20 30 36 42 66 192 216 242 266 392 416 422 428 438 458	-1495388121318
STPT(10)	1586004845624325911	0 2 36 38 78 80 120 122 156 158	-931717166598
SPT(16)	1586004845815919413	0 70 84 96 106 114 124 148 216 240 250 258 268 280 294 364	-931525573096
STPT(10)	1586005153387508639	0 2 30 32 60 62 90 92 120 122	-623953983870
TPT(14)	1586005343469460799	0 2 12 14 18 20 72 74 138 140 198 200 210 212	-433872031710
SPT(18)	1586005887262392209	0 8 32 48 92 144 210 242 278 294 330 362 428 480 524 540 564 572	109920899700
SPT(16)	1586006254896569083	0 30 64 78 88 106 118 120 154 156 168 186 196 210 244 274	477555076574
SPT(16)	1586006543711917903	0 58 66 90 136 154 184 186 268 270 300 318 364 388 396 454	766370425394
TPT(14)	1586006612218236581	0 2 6 8 60 62 90 92 156 158 198 200 258 260	834876744072
SPT(16)	1586006646862611797	0 14 26 36 104 126 140 182 354 396 410 432 500 510 522 536	869521119288