Prime p₀= 2362645331735326439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 76 2 40 2 46 2 40 2 (?)
a_n: 0 2 18 20 60 62 138 140 180 182 228 230 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 16 40 76 40 46 40

STPT(10)	2362644095864908991	0 2 36 38 78 80 120 122 156 158	-1235870417448
SPT(16)	2362644218837822411	0 62 78 150 192 200 206 218 240 252 258 266 308 380 396 458	-1112897504028
STPT(12)	2362644709488517787	0 2 54 56 60 62 84 86 90 92 144 146	-622246808652
SPT(16)	2362644712372447457	0 30 50 86 92 126 146 192 230 276 296 330 336 372 392 422	-619362878982
SPT(16)	2362645207454438807	0 24 42 50 62 92 164 176 180 192 264 294 306 314 332 356	-124280887632
SPT(16)	2362645218546051277	0 4 16 24 34 60 66 132 154 220 226 252 262 270 282 286	-113189275162
STPT(10)	2362645508583198647	0 2 12 14 42 44 72 74 84 86	176847872208
STPT(10)	2362645511033387579	0 2 18 20 30 32 42 44 60 62	179298061140
SPT(16)	2362645527237627461	0 12 18 56 90 96 110 168 200 258 272 278 312 350 356 368	195502301022
STPT(10)	2362645595019886607	0 2 54 56 72 74 90 92 144 146	263284560168
SPT(16)	2362645908394626683	0 30 38 48 54 138 168 170 174 176 206 290 296 306 314 344	576659300244