Prime p₀= 2854713404708111159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 22 2 154 2 10 2 28 2 100 2 (?)
a_n: 0 2 108 110 132 134 288 290 300 302 330 332 432 434
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: 434
Found by: JayPi
db: batch=82, k=14, 106 22 154 10 28 100

SPT(16)	2854711712008722983	0 8 44 50 96 110 138 204 260 326 354 368 414 420 456 464	-1692699388176
SPT(16)	2854711808208400559	0 14 80 132 188 228 234 300 332 398 404 444 500 552 618 632	-1596499710600
STPT(10)	2854711948835778917	0 2 12 14 72 74 132 134 144 146	-1455872332242
STPT(10)	2854712344225891151	0 2 36 38 78 80 120 122 156 158	-1060482220008
STPT(10)	2854712637170948369	0 2 12 14 30 32 48 50 60 62	-767537162790
STPT(10)	2854712891495459387	0 2 30 32 42 44 54 56 84 86	-513212651772
SPT(16)	2854713664910888423	0 18 30 56 74 110 144 210 224 290 324 360 378 404 416 434	260202777264
SPT(16)	2854714465372746659	0 12 20 60 62 72 90 140 144 194 212 222 224 264 272 284	1060664635500
STPT(10)	2854714554011608961	0 2 30 32 78 80 126 128 156 158	1149303497802
SPT(16)	2854714654693381057	0 30 40 64 90 102 112 142 144 174 184 196 222 246 256 286	1249985269898
SPT(16)	2854714677108724543	0 18 28 40 84 94 150 156 208 214 270 280 324 336 346 364	1272400613384