Prime p₀= 2823748299706792397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 172 2 34 2 82 2 184 2 10 2 58 2 (?)
a_n: 0 2 174 176 210 212 294 296 480 482 492 494 552 554
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: 554
Found by: [SG-FC] hl
db: batch=82, k=14, 172 34 82 184 10 58

SPT(16)	2823746729277796193	0 44 86 110 146 176 180 230 330 380 384 414 450 474 516 560	-1570428996204
SPT(16)	2823746946094867147	0 10 46 94 130 132 154 166 180 192 214 216 252 300 336 346	-1353611925250
SPT(16)	2823746958671769359	0 48 62 102 110 132 144 210 242 308 320 342 350 390 404 452	-1341035023038
STPT(10)	2823747421157983319	0 2 18 20 30 32 42 44 60 62	-878548809078
STPT(10)	2823747690968618501	0 2 6 8 48 50 90 92 96 98	-608738173896
STPT(10)	2823748257576332927	0 2 84 86 162 164 240 242 324 326	-42130459470
SPT(18)	2823748476005538589	0 30 72 82 132 138 144 148 198 214 264 268 274 280 330 340 382 412	176298746192
STPT(10)	2823749194703855309	0 2 48 50 90 92 132 134 180 182	894997062912
SPT(16)	2823749903719952357	0 14 62 72 90 104 156 212 264 320 372 386 404 414 462 476	1604013159960
STPT(10)	2823750159979277057	0 2 12 14 42 44 72 74 84 86	1860272484660
STPT(12)	2823750806597075687	0 2 12 14 90 92 132 134 210 212 222 224	2506890283290