Prime p₀= 2181950300492708927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 94 2 58 2 52 2 16 2 (?)
a_n: 0 2 42 44 54 56 150 152 210 212 264 266 282 284
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: Penguin
db: batch=81, k=14, 40 10 94 58 52 16

SPT(16)	2181947938134380189	0 20 44 54 114 168 180 224 228 272 284 338 398 408 432 452	-2362358328738
SPT(16)	2181948096956752591	0 36 52 60 96 162 186 192 250 256 280 346 382 390 406 442	-2203535956336
SPT(16)	2181949442746441307	0 2 32 36 42 92 120 134 192 206 234 284 290 294 324 326	-857746267620
SPT(20)	2181949445024360059	0 24 28 42 54 90 102 112 124 144 208 228 240 250 262 298 310 324 328 352	-855468348868
TPT(14)	2181949465532747957	0 2 72 74 90 92 132 134 144 146 180 182 300 302	-834959960970
STPT(10)	2181950042610256811	0 2 6 8 48 50 90 92 96 98	-257882452116
SPT(16)	2181950529717352703	0 30 56 60 84 126 156 236 294 374 404 446 470 474 500 530	229224643776
STPT(10)	2181950693560636247	0 2 12 14 42 44 72 74 84 86	393067927320
SPT(16)	2181951018572968619	0 62 78 104 120 170 242 252 260 270 342 392 408 434 450 512	718080259692
STPT(10)	2181951087324300557	0 2 42 44 72 74 102 104 144 146	786831591630
TPT(14)	2181951129354438641	0 2 6 8 66 68 246 248 276 278 390 392 420 422	828861729714