Prime p₀= 2484961341253716839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 88 2 82 2 124 2 40 2 178 2 (?)
a_n: 0 2 48 50 138 140 222 224 348 350 390 392 570 572
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: 572
Found by: [SG-FC] hl
db: batch=82, k=14, 46 88 82 124 40 178

SPT(16)	2484959956802319151	0 28 42 72 82 108 162 192 226 256 310 336 346 376 390 418	-1384451397688
SPT(16)	2484960187569396989	0 44 60 110 128 132 138 180 272 314 320 324 342 392 408 452	-1153684319850
SPT(16)	2484960290004717097	0 6 52 66 82 96 100 112 180 192 196 210 226 240 286 292	-1051248999742
STPT(10)	2484960490870083131	0 2 6 8 48 50 90 92 96 98	-850383633708
STPT(10)	2484960652561401107	0 2 30 32 60 62 90 92 120 122	-688692315732
SPT(16)	2484961258730528969	0 42 108 128 150 152 240 270 332 362 450 452 474 494 560 602	-82523187870
STPT(10)	2484961596226466057	0 2 30 32 42 44 54 56 84 86	254972749218
STPT(10)	2484961726104442589	0 2 42 44 90 92 138 140 180 182	384850725750
SPT(16)	2484962614935390739	0 34 48 52 78 108 120 168 184 232 244 274 300 304 318 352	1273681673900
SPT(16)	2484962648925077759	0 18 44 50 62 72 98 144 158 204 230 240 252 258 284 302	1307671360920
TPT(14)	2484962733111343361	0 2 30 32 90 92 246 248 288 290 426 428 438 440	1391857626522