Prime p₀= 2850513477020244377 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 106 2 22 2 28 2 4 2 (?)
a_n: 0 2 84 86 102 104 210 212 234 236 264 266 270 272
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: Jeff17
db: batch=82, k=14, 82 16 106 22 28 4

STPT(10)	2850512446312869587	0 2 30 32 42 44 54 56 84 86	-1030707374790
SPT(16)	2850512713419265397	0 6 42 72 90 156 180 200 222 242 266 332 350 380 416 422	-763600978980
STPT(10)	2850512744657520977	0 2 60 62 72 74 84 86 144 146	-732362723400
SPT(16)	2850513039803419387	0 12 40 46 94 106 126 150 166 190 210 222 270 276 304 316	-437216824990
SPT(16)	2850513204856293677	0 12 26 86 126 200 210 252 254 296 306 380 420 480 494 506	-272163950700
STPT(10)	2850513247014758069	0 2 42 44 90 92 138 140 180 182	-230005486308
SPT(16)	2850513839350308239	0 12 54 62 92 104 162 210 224 272 330 342 372 380 422 434	362330063862
SPT(16)	2850513962989003327	0 4 34 42 52 90 130 156 190 216 256 294 304 312 342 346	485968758950
SPT(16)	2850514075039705999	0 18 30 58 84 108 112 150 172 210 214 238 264 292 304 322	598019461622
SPT(16)	2850514083128596847	0 32 56 92 132 134 156 186 200 230 252 254 294 330 354 386	606108352470
SPT(16)	2850514218337040699	0 8 14 42 68 114 120 164 168 212 218 264 290 318 324 332	741316796322