Prime p₀= 853208943237320609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 58 2 10 2 28 2 76 2 58 2 (?)
a_n: 0 2 60 62 120 122 132 134 162 164 240 242 300 302
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: 302
Found by: RFGuy_KCCO
db: batch=73, k=14, 58 58 10 28 76 58

SPT(16)	853207670599184557	0 16 30 40 42 46 52 54 142 144 150 154 156 166 180 196	-1272638136052
TPT(14)	853207800870959297	0 2 54 56 264 266 282 284 330 332 390 392 420 422	-1142366361312
STPT(10)	853208146365739037	0 2 30 32 42 44 54 56 84 86	-796871581572
STPT(10)	853208232897353477	0 2 42 44 72 74 102 104 144 146	-710339967132
TPT(14)	853208600332289141	0 2 66 68 336 338 516 518 558 560 570 572 678 680	-342905031468
SPT(16)	853208623353278701	0 28 48 66 70 78 90 108 130 148 160 168 172 190 210 238	-319884041908
SPT(16)	853208947061605369	0 70 112 154 184 202 204 292 330 418 420 438 468 510 552 622	3824284760
SPT(16)	853209453602166131	0 18 42 48 66 98 158 210 248 300 360 392 410 416 440 458	510364845522
STPT(10)	853209845641259147	0 2 30 32 42 44 54 56 84 86	902403938538
SPT(16)	853209850307026573	0 18 36 40 76 96 130 208 246 324 358 378 414 418 436 454	907069705964
SPT(16)	853210134920995013	0 24 54 78 144 156 194 200 204 210 248 260 326 350 380 404	1191683674404