Prime p₀= 984051238624734611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 28 2 130 2 34 2 22 2 (?)
a_n: 0 2 36 38 48 50 78 80 210 212 246 248 270 272
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: 272
Found by: Spectrum
db: batch=76, k=14, 34 10 28 130 34 22

SPT(16)	984049931765166229	0 10 12 34 144 148 174 178 204 208 234 238 348 370 372 382	-1306859568382
STPT(10)	984049987481568149	0 2 18 20 30 32 42 44 60 62	-1251143166462
STPT(10)	984050224634340287	0 2 30 32 72 74 114 116 144 146	-1013990394324
TPT(14)	984050237518913951	0 2 36 38 66 68 138 140 240 242 246 248 276 278	-1001105820660
STPT(10)	984050803026654029	0 2 78 80 120 122 162 164 240 242	-435598080582
STPT(10)	984051156892223657	0 2 30 32 42 44 54 56 84 86	-81732510954
SPT(16)	984051599350483561	0 28 52 66 78 88 106 178 210 282 300 310 322 336 360 388	360725748950
SPT(16)	984051765747538843	0 4 34 46 54 60 70 106 108 144 154 160 168 180 210 214	527122804232
TPT(14)	984052207413844631	0 2 60 62 126 128 168 170 306 308 318 320 366 368	968789110020
SPT(20)	984052227591680461	0 22 40 96 120 126 172 210 216 300 328 412 418 456 502 508 532 588 606 628	988966945850
SPT(16)	984052772592430391	0 2 6 8 26 56 78 86 102 110 132 162 180 182 186 188	1533967695780