Prime p₀= 2836847700831344489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 124 2 28 2 112 2 28 2 34 2 (?)
a_n: 0 2 42 44 168 170 198 200 312 314 342 344 378 380
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: 380
Found by: [SG-FC] hl
db: batch=82, k=14, 40 124 28 112 28 34

STPT(10)	2836846231316379167	0 2 30 32 42 44 54 56 84 86	-1469514965322
TPT(14)	2836846297599099857	0 2 30 32 42 44 54 56 192 194 210 212 294 296	-1403232244632
SPT(16)	2836846666016492677	0 22 60 64 70 72 106 120 136 150 184 186 192 196 234 256	-1034814851812
SPT(16)	2836846750922280709	0 4 22 42 130 148 202 214 228 240 294 312 400 420 438 442	-949909063780
SPT(16)	2836846996033490393	0 20 78 116 126 134 144 176 198 230 240 248 258 296 354 374	-704797854096
SPT(16)	2836847363125479581	0 56 128 150 192 198 212 230 258 276 290 296 338 360 432 488	-337705864908
TPT(14)	2836847927774294171	0 2 6 8 36 38 78 80 150 152 258 260 288 290	226942949682
SPT(16)	2836847933563507219	0 4 28 42 48 58 142 244 318 420 504 514 520 534 558 562	232732162730
SPT(16)	2836848197461237541	0 18 36 96 150 192 200 206 222 228 236 278 332 392 410 428	496629893052
SPT(16)	2836848357628893007	0 10 36 52 64 72 100 102 154 156 184 192 204 220 246 256	656797548518
SPT(16)	2836848546802238359	0 4 34 84 88 100 144 150 202 208 252 264 268 318 348 352	845970893870