Prime p₀= 2992654109140768181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 34 2 100 2 76 2 118 2 (?)
a_n: 0 2 48 50 90 92 126 128 228 230 306 308 426 428
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: 428
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 46 40 34 100 76 118

SPT(16)	2992652650286596373	0 26 48 66 86 126 198 216 290 308 380 420 440 458 480 506	-1458854171808
SPT(16)	2992652962449486619	0 30 90 112 132 148 210 238 252 280 342 358 378 400 460 490	-1146691281562
STPT(10)	2992653285854458277	0 2 30 32 120 122 210 212 240 242	-823286309904
TPT(14)	2992653735286365497	0 2 12 14 42 44 72 74 144 146 240 242 270 272	-373854402684
STPT(10)	2992653803630619377	0 2 12 14 42 44 72 74 84 86	-305510148804
SPT(16)	2992654056670577461	0 16 106 108 156 162 196 210 298 312 346 352 400 402 492 508	-52470190720
SPT(16)	2992654242586014647	0 20 32 42 86 102 120 176 180 236 254 270 314 324 336 356	133445246466
STPT(10)	2992654352680702739	0 2 78 80 120 122 162 164 240 242	243539934558
STPT(10)	2992654824063271061	0 2 30 32 78 80 126 128 156 158	714922502880
SPT(16)	2992654913658551591	0 6 30 32 60 90 102 132 140 170 182 212 240 242 266 272	804517783410
SPT(16)	2992654916491528303	0 4 54 88 108 114 130 166 168 204 220 226 246 280 330 334	807350760122