Prime p₀= 2868797141791143767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 28 2 4 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 114 116 120 122 162 164 204 206
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: 206
Found by: [SG-FC] hl
db: batch=82, k=14, 40 40 28 4 40 40

STPT(10)	2868795711136732337	0 2 42 44 102 104 162 164 204 206	-1430654411430
SPT(18)	2868796337284821101	0 8 32 60 86 90 110 146 168 230 252 288 308 312 338 366 390 398	-804506322666
SPT(16)	2868796533841552243	0 10 28 90 108 138 144 178 216 250 256 286 304 366 384 394	-607949591524
SPT(16)	2868796554825246503	0 14 20 50 56 110 120 138 176 194 204 258 264 294 300 314	-586965897264
SPT(16)	2868796607626752161	0 20 56 78 108 170 218 228 230 240 288 350 380 402 438 458	-534164391606
SPT(16)	2868796811855124511	0 22 30 40 58 60 72 100 168 196 208 210 228 238 246 268	-329936019256
SPT(16)	2868797515826826613	0 28 40 78 96 106 130 148 168 186 210 220 238 276 288 316	374035682846
SPT(16)	2868798012415386409	0 10 24 52 88 102 112 154 168 210 220 234 270 298 312 322	870624242642
STPT(10)	2868798149287110377	0 2 30 32 42 44 54 56 84 86	1007495966610
SPT(16)	2868798173148503291	0 36 50 98 128 138 180 198 230 248 290 300 330 378 392 428	1031357359524
TPT(14)	2868798738811907411	0 2 108 110 210 212 336 338 360 362 408 410 486 488	1597020763644