Prime p₀= 2084573019825352409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 94 2 112 2 76 2 160 2 4 2 (?)
a_n: 0 2 12 14 108 110 222 224 300 302 462 464 468 470
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: 470
Found by: gemini8
db: batch=80, k=14, 10 94 112 76 160 4

TPT(14)	2084570702938986929	0 2 18 20 102 104 120 122 162 164 168 170 210 212	-2316886365480
STPT(10)	2084571220752647909	0 2 42 44 60 62 78 80 120 122	-1799072704500
SPT(16)	2084571501308804581	0 6 12 40 52 78 138 162 166 190 250 276 288 316 322 328	-1518516547828
SPT(16)	2084572175526522047	0 42 72 80 84 104 132 146 150 164 192 212 216 224 254 296	-844298830362
SPT(16)	2084572524591029147	0 24 42 104 114 120 140 162 182 204 224 230 240 302 320 344	-495234323262
STPT(10)	2084572664455281821	0 2 6 8 18 20 30 32 36 38	-355370070588
STPT(10)	2084573189660520467	0 2 30 32 42 44 54 56 84 86	169835168058
SPT(16)	2084574926231677381	0 22 36 40 60 82 90 126 172 208 216 238 258 262 276 298	1906406324972
SPT(18)	2084575019252375449	0 10 22 48 72 78 90 100 142 288 330 340 352 358 382 408 420 430	1999427023040
SPT(16)	2084575037760184553	0 38 134 176 258 276 294 360 374 440 458 476 558 600 696 734	2017934832144
STPT(10)	2084575443705656507	0 2 12 14 72 74 132 134 144 146	2423880304098