Prime p₀= 2085833178425657987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 4 2 22 2 196 2 58 2 88 2 (?)
a_n: 0 2 54 56 60 62 84 86 282 284 342 344 432 434
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: 434
Found by: Landjunge
db: batch=80, k=14, 52 4 22 196 58 88

STPT(10)	2085832339460822801	0 2 30 32 60 62 90 92 120 122	-838964835186
STPT(10)	2085832825699062827	0 2 90 92 102 104 114 116 204 206	-352726595160
SPT(16)	2085832866045462097	0 6 72 82 100 106 114 142 144 172 180 186 204 214 280 286	-312380195890
STPT(10)	2085832940701650191	0 2 6 8 18 20 30 32 36 38	-237724007796
STPT(10)	2085832994737407437	0 2 30 32 42 44 54 56 84 86	-183688250550
STPT(10)	2085833022880918151	0 2 36 38 78 80 120 122 156 158	-155544739836
SPT(16)	2085833951710195409	0 24 50 72 98 132 150 164 258 272 290 324 350 372 398 422	773284537422
STPT(10)	2085834378069265247	0 2 54 56 72 74 90 92 144 146	1199643607260
STPT(10)	2085834518729912141	0 2 36 38 78 80 120 122 156 158	1340304254154
SPT(16)	2085834811987313117	0 2 26 30 120 126 164 170 216 222 260 266 356 360 384 386	1633561655130
SPT(16)	2085835084723256861	0 8 30 92 96 108 126 206 252 332 350 362 366 428 450 458	1906297598874