Prime p₀= 3015821213273688647 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 226 2 52 2 28 2 46 2 16 2 (?)
a_n: 0 2 102 104 330 332 384 386 414 416 462 464 480 482
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: ginga
db: batch=82, k=14, 100 226 52 28 46 16

STPT(10)	3015819003454094819	0 2 42 44 60 62 78 80 120 122	-2209819593828
TPT(14)	3015819296814245021	0 2 36 38 90 92 156 158 168 170 246 248 258 260	-1916459443626
STPT(10)	3015819463010467037	0 2 12 14 42 44 72 74 84 86	-1750263221610
SPT(16)	3015819819149179607	0 6 42 54 66 120 180 266 270 356 416 470 482 494 530 536	-1394124509040
SPT(16)	3015820297383022057	0 22 60 76 82 102 112 126 130 144 154 174 180 196 234 256	-915890666590
SPT(16)	3015820851273283253	0 26 30 56 96 110 114 120 134 140 144 158 198 224 228 254	-362000405394
STPT(10)	3015821471256618719	0 2 30 32 60 62 90 92 120 122	257982930072
TPT(14)	3015822831624760427	0 2 72 74 180 182 252 254 270 272 294 296 312 314	1618351071780
SPT(16)	3015823078935854177	0 14 20 26 56 72 152 162 194 204 284 300 330 336 342 356	1865662165530
STPT(10)	3015823796102597267	0 2 60 62 72 74 84 86 144 146	2582828908620
SPT(16)	3015823851294165523	0 40 96 126 198 204 234 240 274 280 310 316 388 418 474 514	2638020476876