Prime p₀= 2623096684919727227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 40 2 16 2 40 2 10 2 (?)
a_n: 0 2 30 32 120 122 162 164 180 182 222 224 234 236
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: 236
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 88 40 16 40 10

SPT(16)	2623094959637662709	0 12 30 92 104 168 224 254 258 288 344 408 420 482 500 512	-1725282064518
SPT(16)	2623095009406926137	0 2 14 30 44 144 156 174 182 200 212 312 326 342 354 356	-1675512801090
STPT(10)	2623095064136840441	0 2 36 38 78 80 120 122 156 158	-1620782886786
STPT(10)	2623095064821185321	0 2 6 8 48 50 90 92 96 98	-1620098541906
SPT(16)	2623095148040422327	0 6 42 60 76 94 112 132 154 174 192 210 226 244 280 286	-1536879304900
SPT(16)	2623095978001149997	0 12 16 22 82 132 190 196 210 216 274 324 384 390 394 406	-706918577230
STPT(10)	2623096733457471767	0 2 12 14 42 44 72 74 84 86	48537744540
SPT(16)	2623096763426981521	0 70 72 78 88 96 142 210 268 336 382 390 400 406 408 478	78507254294
TPT(14)	2623097185805131199	0 2 150 152 180 182 288 290 360 362 390 392 528 530	500885403972
STPT(10)	2623097588452897637	0 2 54 56 72 74 90 92 144 146	903533170410
SPT(16)	2623097608218607171	0 18 36 108 120 126 168 192 246 270 312 318 330 402 420 438	923298879944