Prime p₀= 1126341562107820607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 58 2 10 2 16 2 22 2 (?)
a_n: 0 2 84 86 90 92 150 152 162 164 180 182 204 206
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: 206
Found by: crashtech
db: batch=76, k=14, 82 4 58 10 16 22

STPT(10)	1126339460696303039	0 2 18 20 30 32 42 44 60 62	-2101411517568
SPT(16)	1126340674172282147	0 62 96 120 150 152 164 176 390 402 414 416 446 470 504 566	-887935538460
STPT(10)	1126340844633013979	0 2 12 14 30 32 48 50 60 62	-717474806628
SPT(16)	1126340844973327661	0 30 80 90 126 150 156 168 230 242 248 272 308 318 368 398	-717134492946
STPT(10)	1126340983517945561	0 2 36 38 78 80 120 122 156 158	-578589875046
STPT(10)	1126341448153348247	0 2 60 62 72 74 84 86 144 146	-113954472360
TPT(14)	1126341919057552781	0 2 48 50 138 140 180 182 336 338 348 350 390 392	356949732174
SPT(16)	1126342014734703857	0 54 80 104 122 164 192 236 270 314 342 384 402 426 452 506	452626883250
SPT(16)	1126342053371521321	0 10 30 70 150 156 186 238 258 310 340 346 426 466 486 496	491263700714
STPT(10)	1126342098285356297	0 2 90 92 102 104 114 116 204 206	536177535690
STPT(10)	1126342525248285011	0 2 6 8 18 20 30 32 36 38	963140464404