Prime p₀= 1545870527178917909 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 34 2 10 2 28 2 16 2 (?)
a_n: 0 2 30 32 132 134 168 170 180 182 210 212 228 230
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: 230
Found by: emoga
db: batch=78, k=14, 28 100 34 10 28 16

SPT(16)	1545870016545097273	0 6 28 46 76 78 90 130 174 214 226 228 258 276 298 304	-510633820636
SPT(16)	1545870165167114669	0 2 18 24 32 72 80 84 98 102 110 150 158 164 180 182	-362011803240
SPT(16)	1545870198730555573	0 24 64 100 120 130 168 198 220 250 288 298 318 354 394 418	-328448362336
SPT(16)	1545870288075527597	0 14 24 44 50 56 60 74 126 140 144 150 156 176 186 200	-239103390312
SPT(16)	1545870351552601549	0 12 40 52 54 114 144 154 198 208 238 298 300 312 340 352	-175626316360
STPT(10)	1545870415042679021	0 2 6 8 18 20 30 32 36 38	-112136238888
TPT(14)	1545870567968620631	0 2 36 38 48 50 216 218 288 290 306 308 390 392	40789702722
SPT(16)	1545871115106051247	0 12 30 34 64 72 154 202 204 252 334 342 372 376 394 406	587927133338
STPT(10)	1545871207411546859	0 2 18 20 30 32 42 44 60 62	680232628950
TPT(14)	1545871285972950017	0 2 30 32 90 92 174 176 180 182 210 212 252 254	758794032108
STPT(10)	1545871363671350489	0 2 12 14 90 92 168 170 180 182	836492432580