Prime p₀= 2327364416070534899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 118 2 88 2 22 2 28 2 28 2 (?)
a_n: 0 2 48 50 168 170 258 260 282 284 312 314 342 344
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: 344
Found by: Time_Traveler
db: batch=81, k=14, 46 118 88 22 28 28

STPT(10)	2327363159068866557	0 2 60 62 72 74 84 86 144 146	-1257001668342
TPT(14)	2327363185965069059	0 2 12 14 78 80 120 122 132 134 150 152 222 224	-1230105465840
SPT(16)	2327363682502577977	0 30 60 66 82 124 156 216 220 280 312 354 370 376 406 436	-733567956922
SPT(16)	2327364183659593693	0 6 54 66 76 160 180 208 396 424 444 528 538 550 598 604	-232410941206
STPT(10)	2327364285347792531	0 2 36 38 78 80 120 122 156 158	-130722742368
TPT(14)	2327364399383613431	0 2 6 8 90 92 186 188 210 212 240 242 246 248	-16686921468
STPT(10)	2327364537429299057	0 2 30 32 42 44 54 56 84 86	121358764158
SPT(16)	2327364538171294393	0 4 24 46 100 106 148 150 154 156 198 204 258 280 300 304	122100759494
TPT(14)	2327364722566970291	0 2 30 32 36 38 78 80 168 170 210 212 240 242	306496435392
SPT(16)	2327364935312474359	0 12 52 60 64 70 78 108 124 154 162 168 172 180 220 232	519241939460
TPT(14)	2327365426878968891	0 2 18 20 60 62 156 158 186 188 216 218 240 242	1010808433992