Prime p₀= 2616873756666486047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 46 2 40 2 28 2 10 2 (?)
a_n: 0 2 24 26 42 44 90 92 132 134 162 164 174 176
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: 176
Found by: JayPi
db: batch=82, k=14, 22 16 46 40 28 10

SPT(16)	2616871211784858043	0 10 46 54 78 126 136 148 186 198 208 256 280 288 324 334	-2544881628004
SPT(16)	2616871800009030301	0 6 22 48 58 70 78 100 138 160 168 180 190 216 232 238	-1956657455746
STPT(10)	2616872572219876601	0 2 36 38 78 80 120 122 156 158	-1184446609446
STPT(10)	2616872994371720081	0 2 6 8 48 50 90 92 96 98	-762294765966
STPT(10)	2616873241762831691	0 2 6 8 48 50 90 92 96 98	-514903654356
SPT(16)	2616873416849003681	0 32 140 176 222 248 252 270 308 326 330 356 402 438 546 578	-339817482366
STPT(10)	2616874414425350657	0 2 30 32 42 44 54 56 84 86	657758864610
SPT(16)	2616874469678450999	0 8 24 44 98 108 168 210 218 260 320 330 384 404 420 428	713011964952
SPT(16)	2616874542291217969	0 12 22 34 40 88 90 244 258 412 414 462 468 480 490 502	785624731922
SPT(16)	2616874692411666457	0 24 60 66 84 154 220 232 294 306 372 442 460 466 502 526	935745180410
STPT(10)	2616875099765696591	0 2 6 8 48 50 90 92 96 98	1343099210544