Prime p₀= 1094215084429836119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 238 2 88 2 40 2 34 2 40 2 28 2 (?)
a_n: 0 2 240 242 330 332 372 374 408 410 450 452 480 482
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: 482
Found by: crashtech
db: batch=76, k=14, 238 88 40 34 40 28

STPT(12)	1094214185534815517	0 2 12 14 30 32 54 56 72 74 84 86	-898895020602
SPT(16)	1094214288210346169	0 12 54 104 132 152 170 180 182 192 210 230 258 308 350 362	-796219489950
STPT(10)	1094214504538603991	0 2 6 8 48 50 90 92 96 98	-579891232128
SPT(16)	1094214567815836889	0 30 104 162 174 192 224 230 234 240 272 290 302 360 434 464	-516613999230
SPT(18)	1094214978688561493	0 30 86 108 140 176 200 260 290 366 396 456 480 516 548 570 626 656	-105741274626
SPT(16)	1094215036812751291	0 58 78 96 126 130 138 162 166 190 198 202 232 250 270 328	-47617084828
SPT(16)	1094215347896706439	0 4 24 28 52 112 178 192 250 264 330 390 414 418 438 442	263466870320
STPT(10)	1094215658292969629	0 2 18 20 30 32 42 44 60 62	573863133510
SPT(16)	1094215672474509643	0 18 28 66 78 94 120 168 196 244 270 286 298 336 346 364	588044673524
TPT(14)	1094215698893615141	0 2 138 140 156 158 180 182 198 200 306 308 348 350	614463779022
SPT(16)	1094215977438905471	0 2 36 66 78 86 90 140 198 248 252 260 272 302 336 338	893009069352