Prime p₀= 2765579537947443251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 130 2 64 2 10 2 28 2 10 2 (?)
a_n: 0 2 138 140 270 272 336 338 348 350 378 380 390 392
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: 392
Found by: Coleslaw
db: batch=82, k=14, 136 130 64 10 28 10

STPT(10)	2765576232502131647	0 2 30 32 42 44 54 56 84 86	-3305445311604
SPT(16)	2765576362314901987	0 10 60 64 70 90 106 124 132 150 166 186 192 196 246 256	-3175632541264
STPT(10)	2765577061777010021	0 2 30 32 78 80 126 128 156 158	-2476170433230
TPT(14)	2765577082678574999	0 2 30 32 42 44 102 104 198 200 228 230 240 242	-2455268868252
TPT(14)	2765577448201641707	0 2 72 74 132 134 210 212 240 242 324 326 384 386	-2089745801544
STPT(10)	2765579210798460569	0 2 42 44 60 62 78 80 120 122	-327148982682
SPT(16)	2765579805516841367	0 6 36 54 116 146 174 176 234 236 264 294 356 374 404 410	267569398116
TPT(14)	2765579958708984581	0 2 6 8 150 152 258 260 306 308 378 380 420 422	420761541330
STPT(12)	2765580118243168691	0 2 36 38 48 50 78 80 90 92 126 128	580295725440
SPT(16)	2765580629188307527	0 46 70 72 156 172 190 220 336 366 384 400 484 486 510 556	1091240864276
SPT(16)	2765580842153776291	0 10 16 36 42 60 108 112 186 190 238 256 262 282 288 298	1304206333040