Prime p₀= 3009000827201354429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 52 2 4 2 82 2 64 2 (?)
a_n: 0 2 42 44 108 110 162 164 168 170 252 254 318 320
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: 320
Found by: Orange Kid
db: batch=82, k=14, 40 64 52 4 82 64

STPT(10)	3008999727620210381	0 2 36 38 78 80 120 122 156 158	-1099581144048
STPT(10)	3008999848578192317	0 2 30 32 60 62 90 92 120 122	-978623162112
SPT(16)	3008999941802478541	0 12 58 178 192 222 250 282 316 348 376 406 420 540 586 598	-885398875888
STPT(10)	3009000317865703517	0 2 30 32 72 74 114 116 144 146	-509335650912
SPT(16)	3009000458771419873	0 36 90 120 160 166 178 208 246 276 288 294 334 364 418 454	-368429934556
SPT(16)	3009000716207306767	0 102 112 130 154 190 216 232 294 310 336 372 396 414 424 526	-110994047662
SPT(16)	3009001322267018269	0 70 94 132 144 174 210 214 318 322 358 388 400 438 462 532	495065663840
SPT(16)	3009001945977475639	0 42 48 58 72 100 118 120 142 144 162 190 204 214 220 262	1118776121210
SPT(16)	3009002220155524819	0 4 22 42 84 100 130 142 162 174 204 220 262 282 300 304	1392954170390
SPT(16)	3009002316379277143	0 4 16 66 70 76 126 136 168 178 228 234 238 288 300 304	1489177922714
STPT(10)	3009002376295254917	0 2 30 32 42 44 54 56 84 86	1549093900488