Prime p₀= 1214586850384928327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 118 2 52 2 28 2 46 2 (?)
a_n: 0 2 30 32 60 62 180 182 234 236 264 266 312 314
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: 314
Found by: xii5ku
db: batch=77, k=14, 28 28 118 52 28 46

STPT(10)	1214585503400406029	0 2 12 14 90 92 168 170 180 182	-1346984522298
SPT(16)	1214585711071238551	0 40 42 78 162 168 192 282 328 418 442 448 532 568 570 610	-1139313689776
SPT(18)	1214585915559781483	0 6 46 76 154 168 186 208 264 280 336 358 376 390 468 498 538 544	-934825146844
TPT(14)	1214586577602914531	0 2 96 98 108 110 138 140 198 200 210 212 288 290	-272782013796
STPT(10)	1214586577906378289	0 2 18 20 30 32 42 44 60 62	-272478550038
SPT(16)	1214586635700210341	0 2 8 18 20 56 78 90 158 170 192 228 230 240 246 248	-214684717986
SPT(16)	1214586911867293711	0 36 42 70 90 120 162 220 288 346 388 418 438 466 472 508	61482365384
SPT(16)	1214587190005373389	0 22 30 52 102 108 150 178 204 232 274 280 330 352 360 382	339620445062
TPT(14)	1214587284891904661	0 2 6 8 78 80 126 128 138 140 150 152 216 218	434506976334
SPT(16)	1214587286978860931	0 6 8 36 48 56 66 78 110 122 132 140 152 180 182 188	436593932604
STPT(10)	1214587440125094809	0 2 42 44 90 92 138 140 180 182	589740166482