Prime p₀= 2276007207028294511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 46 2 28 2 28 2 28 2 (?)
a_n: 0 2 36 38 120 122 168 170 198 200 228 230 258 260
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: 260
Found by: JayPi
db: batch=81, k=14, 34 82 46 28 28 28

TPT(14)	2276006436085408907	0 2 12 14 60 62 180 182 192 194 234 236 264 266	-770942885604
STPT(10)	2276006623398865967	0 2 30 32 42 44 54 56 84 86	-583629428544
STPT(10)	2276006938019276177	0 2 60 62 72 74 84 86 144 146	-269009018334
SPT(16)	2276006969752905661	0 6 16 30 48 82 112 132 136 156 186 220 238 252 262 268	-237275388850
STPT(10)	2276006996517417587	0 2 30 32 72 74 114 116 144 146	-210510876924
SPT(16)	2276007133841763331	0 28 66 88 118 132 142 148 240 246 256 270 300 322 360 388	-73186531180
SPT(16)	2276007678519422983	0 6 18 100 156 186 204 238 246 280 298 328 384 466 478 484	471491128472
SPT(16)	2276007816950392859	0 48 90 110 140 248 258 270 272 284 294 402 432 452 494 542	609922098348
SPT(16)	2276008579458776867	0 50 126 146 194 200 222 236 300 314 336 342 390 410 486 536	1372430482356
STPT(10)	2276008606706044757	0 2 30 32 42 44 54 56 84 86	1399677750246
STPT(10)	2276008683510286391	0 2 6 8 18 20 30 32 36 38	1476481991880