Prime p₀= 2147464333490988947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 46 2 76 2 22 2 16 2 (?)
a_n: 0 2 24 26 114 116 162 164 240 242 264 266 282 284
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: 284
Found by: Landjunge
db: batch=80, k=14, 22 88 46 76 22 16

STPT(10)	2147463454475559131	0 2 6 8 18 20 30 32 36 38	-879015429816
STPT(10)	2147463547331765021	0 2 30 32 228 230 426 428 456 458	-786159223926
SPT(16)	2147463773531735089	0 12 18 60 78 82 84 90 112 118 120 124 142 184 190 202	-559959253858
STPT(10)	2147463969759927101	0 2 6 8 48 50 90 92 96 98	-363731061846
SPT(16)	2147463979461925049	0 30 74 84 90 98 120 168 260 308 330 338 344 354 398 428	-354029063898
STPT(10)	2147464158911162711	0 2 6 8 48 50 90 92 96 98	-174579826236
SPT(16)	2147464821582678043	0 28 34 36 64 70 76 88 276 288 294 300 328 330 336 364	488091689096
STPT(10)	2147465148082286717	0 2 24 26 42 44 60 62 84 86	814591297770
SPT(16)	2147465262290071499	0 72 128 152 228 240 242 282 308 348 350 362 438 462 518 590	928799082552
STPT(10)	2147465541536534267	0 2 42 44 72 74 102 104 144 146	1208045545320
SPT(16)	2147465571526062167	0 6 86 90 182 246 284 300 326 342 380 444 536 540 620 626	1238035073220