Prime p₀= 2308989228929619617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 64 2 40 2 46 2 52 2 (?)
a_n: 0 2 42 44 54 56 120 122 162 164 210 212 264 266
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: 266
Found by: Landjunge
db: batch=81, k=14, 40 10 64 40 46 52

SPT(16)	2308988303864380249	0 48 52 90 100 112 132 154 258 280 300 312 322 360 364 412	-925065239368
STPT(10)	2308988373559437371	0 2 6 8 48 50 90 92 96 98	-855370182246
SPT(16)	2308988668661786113	0 28 46 78 126 184 274 316 318 360 450 508 556 588 606 634	-560267833504
SPT(16)	2308988834918055883	0 24 76 90 106 120 136 150 190 204 220 234 250 264 316 340	-394011563734
STPT(10)	2308989123942496319	0 2 18 20 30 32 42 44 60 62	-104987123298
SPT(16)	2308989161041988639	0 8 42 60 62 92 104 110 162 168 180 210 212 230 264 272	-67887630978
STPT(10)	2308989901995998861	0 2 6 8 48 50 90 92 96 98	673066379244
STPT(10)	2308990237703008799	0 2 18 20 30 32 42 44 60 62	1008773389182
STPT(10)	2308990278824946917	0 2 54 56 72 74 90 92 144 146	1049895327300
SPT(16)	2308990372097923061	0 30 32 78 86 158 188 218 240 270 300 372 380 426 428 458	1143168303444
STPT(10)	2308990666995915587	0 2 24 26 42 44 60 62 84 86	1438066295970