Prime p₀= 2964946391331278327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 160 2 58 2 28 2 76 2 (?)
a_n: 0 2 24 26 42 44 204 206 264 266 294 296 372 374
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: 374
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 22 16 160 58 28 76

STPT(10)	2964945388380640331	0 2 6 8 18 20 30 32 36 38	-1002950637996
TPT(16)	2964945389705424911	0 2 30 32 36 38 90 92 126 128 156 158 216 218 240 242	-1001625853416
SPT(18)	2964945431280912973	0 24 54 66 106 144 160 178 186 238 246 264 280 318 358 370 400 424	-960050365354
SPT(16)	2964945973934310953	0 44 60 114 144 158 168 170 294 296 306 320 350 404 420 464	-417396967374
SPT(16)	2964946282441935901	0 72 82 88 126 142 148 160 168 180 186 202 240 246 256 328	-108889342426
SPT(16)	2964946329665646503	0 24 48 84 104 150 156 170 204 218 224 270 290 326 350 374	-61665631824
SPT(16)	2964946464329961791	0 18 42 66 198 210 218 236 252 270 278 290 422 446 470 488	72998683464
SPT(16)	2964946802659875151	0 28 42 48 66 126 196 216 262 282 352 412 430 436 450 478	411328596824
TPT(14)	2964946829671681991	0 2 36 38 48 50 78 80 360 362 378 380 528 530	438340403664
STPT(10)	2964946948086905141	0 2 6 8 48 50 90 92 96 98	556755626814
STPT(10)	2964947616865054439	0 2 108 110 150 152 192 194 300 302	1225533776112