Prime p₀= 786214590576108677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 136 2 16 2 10 2 46 2 (?)
a_n: 0 2 42 44 84 86 222 224 240 242 252 254 300 302
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: 302
Found by: schoussi
db: batch=73, k=14, 40 40 136 16 10 46

SPT(16)	786213522256915069	0 18 22 30 70 100 108 144 238 274 282 312 352 360 364 382	-1068319193608
STPT(10)	786213577666420901	0 2 6 8 48 50 90 92 96 98	-1012909687776
SPT(16)	786214016428779641	0 20 66 68 98 110 150 180 218 248 288 300 330 332 378 398	-574147329036
SPT(16)	786214246195883963	0 14 38 50 56 86 90 108 146 164 168 198 204 216 240 254	-344380224714
SPT(16)	786214417612834957	0 4 6 22 60 64 76 84 112 120 132 136 174 190 192 196	-172963273720
SPT(16)	786214549806082519	0 58 84 150 168 220 238 280 282 324 342 394 412 478 504 562	-40770026158
TPT(14)	786214671758160101	0 2 18 20 30 32 90 92 186 188 210 212 216 218	81182051424
STPT(10)	786215635660512917	0 2 30 32 72 74 114 116 144 146	1045084404240
STPT(10)	786215765571678521	0 2 30 32 78 80 126 128 156 158	1174995569844
SPT(18)	786215793408299321	0 60 68 78 92 96 116 152 198 200 246 282 302 306 320 330 338 398	1202832190644
STPT(10)	786215855672100611	0 2 6 8 18 20 30 32 36 38	1265095991934