Prime p₀= 2373787516235815259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 34 2 70 2 10 2 28 2 (?)
a_n: 0 2 30 32 72 74 108 110 180 182 192 194 222 224
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: 224
Found by: Donn Pike (USAF Ret)
db: batch=81, k=14, 28 40 34 70 10 28

SPT(16)	2373784998991516307	0 26 36 60 114 126 134 140 156 162 170 182 236 260 270 296	-2517244298952
STPT(10)	2373785088895669649	0 2 48 50 90 92 132 134 180 182	-2427340145610
STPT(10)	2373785649750518357	0 2 54 56 72 74 90 92 144 146	-1866485296902
STPT(10)	2373785846847826421	0 2 6 8 48 50 90 92 96 98	-1669387988838
TPT(14)	2373786097744180241	0 2 48 50 78 80 90 92 108 110 180 182 306 308	-1418491635018
TPT(16)	2373786171490893191	0 2 30 32 138 140 156 158 168 170 180 182 240 242 270 272	-1344744922068
SPT(16)	2373787567648375817	0 32 42 56 60 96 102 122 144 164 170 206 210 224 234 266	51412560558
STPT(10)	2373787646367260831	0 2 36 38 78 80 120 122 156 158	130131445572
SPT(16)	2373787835976175253	0 50 96 104 126 140 204 264 266 326 390 404 426 434 480 530	319740359994
SPT(20)	2373788108503207691	0 18 32 86 96 138 168 192 218 228 260 270 296 320 350 392 402 456 470 488	592267392432
STPT(10)	2373788346680763821	0 2 6 8 48 50 90 92 96 98	830444948562