Prime p₀= 2565096112270523537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 112 2 76 2 10 2 76 2 10 2 (?)
a_n: 0 2 30 32 144 146 222 224 234 236 312 314 324 326
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: 326
Found by: philip-in-hong kong
db: batch=82, k=14, 28 112 76 10 76 10

STPT(10)	2565094561010678861	0 2 90 92 108 110 126 128 216 218	-1551259844676
STPT(12)	2565094870903423697	0 2 12 14 54 56 60 62 102 104 114 116	-1241367099840
SPT(16)	2565094937307352663	0 30 58 64 78 100 118 154 210 246 264 286 300 306 334 364	-1174963170874
SPT(16)	2565095012435445671	0 2 20 30 38 48 80 90 98 108 140 150 158 168 186 188	-1099835077866
STPT(10)	2565095030871851897	0 2 42 44 72 74 102 104 144 146	-1081398671640
SPT(16)	2565096057672506087	0 30 36 74 86 164 174 176 240 242 252 330 342 380 386 416	-54598017450
STPT(10)	2565096490123747157	0 2 30 32 42 44 54 56 84 86	377853223620
STPT(10)	2565096567290980241	0 2 36 38 78 80 120 122 156 158	455020456704
SPT(16)	2565096640365053777	0 54 56 86 156 180 222 276 350 404 446 470 540 570 572 626	528094530240
STPT(10)	2565096770162730239	0 2 42 44 60 62 78 80 120 122	657892206702
SPT(16)	2565096895189591319	0 120 144 188 218 230 270 278 294 302 342 354 384 428 452 572	782919067782