Prime p₀= 1187509536583718987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 10 2 10 2 28 2 58 2 (?)
a_n: 0 2 42 44 60 62 72 74 84 86 114 116 174 176
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: 176
Found by: HenkM
db: batch=77, k=14, 40 16 10 10 28 58

SPT(16)	1187508684093303101	0 12 18 78 122 168 180 188 222 230 242 288 332 392 398 410	-852490415886
SPT(16)	1187508799079411539	0 12 24 34 58 112 118 180 262 324 330 384 408 418 430 442	-737504307448
STPT(10)	1187509131166225961	0 2 30 32 60 62 90 92 120 122	-405417493026
SPT(16)	1187509316307240713	0 26 30 56 80 90 138 140 246 248 296 306 330 356 360 386	-220276478274
TPT(14)	1187509372554505289	0 2 42 44 78 80 258 260 342 344 408 410 438 440	-164029213698
SPT(16)	1187509526581034933	0 24 38 44 66 128 156 170 234 248 276 338 360 366 380 404	-10002684054
TPT(14)	1187509546155025571	0 2 18 20 60 62 156 158 186 188 210 212 258 260	9571306584
STPT(10)	1187509929412181117	0 2 12 14 42 44 72 74 84 86	392828462130
SPT(16)	1187510115369260503	0 6 34 36 66 84 130 144 220 234 280 298 328 330 358 364	578785541516
SPT(16)	1187510189063912213	0 120 140 180 206 246 266 360 434 528 548 588 614 654 674 794	652480193226
SPT(16)	1187510283533725181	0 18 50 56 60 116 162 210 248 296 342 398 402 408 440 458	746950006194