Prime p₀= 1117686448946642999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 82 2 46 2 58 2 28 2 (?)
a_n: 0 2 30 32 48 50 132 134 180 182 240 242 270 272
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: mcf2020
db: batch=76, k=14, 28 16 82 46 58 28

SPT(16)	1117685295133112963	0 6 60 66 126 134 204 206 228 230 300 308 368 374 428 434	-1153813530036
TPT(14)	1117685499415875191	0 2 18 20 60 62 96 98 156 158 270 272 336 338	-949530767808
STPT(10)	1117685920764423077	0 2 12 14 72 74 132 134 144 146	-528182219922
STPT(10)	1117685924195877389	0 2 90 92 150 152 210 212 300 302	-524750765610
SPT(18)	1117686361197155641	0 40 48 162 166 196 202 306 322 336 352 456 462 492 496 610 618 658	-87749487358
STPT(10)	1117686383360049197	0 2 30 32 60 62 90 92 120 122	-65586593802
SPT(16)	1117686538125321841	0 18 22 28 70 78 88 102 106 120 130 138 180 186 190 208	89178678842
SPT(16)	1117686588190954141	0 6 40 70 100 126 138 162 196 220 232 258 288 318 352 358	139244311142
SPT(16)	1117686658809851563	0 24 28 60 66 70 88 90 94 96 114 118 124 156 160 184	209863208564
SPT(16)	1117686716009189407	0 4 6 70 72 76 82 96 160 174 180 184 186 250 252 256	267062546408
TPT(14)	1117687091636803067	0 2 72 74 84 86 90 92 144 146 174 176 414 416	642690160068