Prime p₀= 1127358553779893117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 10 2 40 2 166 2 16 2 (?)
a_n: 0 2 12 14 60 62 72 74 114 116 282 284 300 302
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: 302
Found by: crashtech
db: batch=76, k=14, 10 46 10 40 166 16

SPT(16)	1127358135806296279	0 18 42 78 90 118 132 190 270 328 342 370 382 418 442 460	-417973596838
SPT(16)	1127358261298718681	0 12 18 56 86 96 122 126 152 156 182 192 222 260 266 278	-292481174436
SPT(16)	1127358324807030931	0 60 88 90 96 108 118 150 286 318 328 340 346 348 376 436	-228972862186
SPT(16)	1127358332685447197	0 14 20 32 74 126 152 156 170 174 200 252 294 306 312 326	-221094445920
SPT(16)	1127358376458849833	0 48 56 74 78 90 126 156 158 188 224 236 240 258 266 314	-177321043284
SPT(16)	1127358428760474577	0 42 112 144 160 172 174 186 310 322 324 336 352 384 454 496	-125019418540
STPT(10)	1127359074933280457	0 2 30 32 72 74 114 116 144 146	521153387340
SPT(16)	1127359478427955327	0 16 70 136 162 190 252 280 282 310 372 400 426 492 546 562	924648062210
SPT(16)	1127360148052359119	0 8 20 42 72 84 98 138 164 204 218 230 260 282 294 302	1594272466002
STPT(10)	1127360181220718087	0 2 24 26 42 44 60 62 84 86	1627440824970
STPT(12)	1127360466259586927	0 2 30 32 42 44 90 92 102 104 132 134	1912479693810