Prime p₀= 2162463130670869727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 10 2 40 2 28 2 34 2 (?)
a_n: 0 2 24 26 30 32 42 44 84 86 114 116 150 152
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: 152
Found by: Landjunge
db: batch=81, k=14, 22 4 10 40 28 34

SPT(16)	2162461975278084841	0 12 40 88 166 168 240 246 292 298 370 372 450 498 526 538	-1155392784886
SPT(16)	2162461975356664483	0 28 34 66 94 118 150 276 448 574 606 630 658 690 696 724	-1155314205244
STPT(10)	2162462122142498777	0 2 30 32 42 44 54 56 84 86	-1008528370950
SPT(16)	2162462380747720673	0 20 24 26 90 116 156 186 194 224 264 290 354 356 360 380	-749923149054
SPT(13)	2162462670606247393	0 54 66 96 126 174 180 186 234 264 294 306 360	-460064622334
SPT(16)	2162462801423645911	0 16 78 126 150 178 186 208 210 232 240 268 292 340 402 418	-329247223816
SPT(16)	2162463142696345997	0 30 56 72 96 126 140 186 266 312 326 356 380 396 422 452	12025476270
SPT(16)	2162463439307657183	0 8 24 38 54 60 78 98 120 140 158 164 180 194 210 218	308636787456
STPT(10)	2162464019065118297	0 2 60 62 72 74 84 86 144 146	888394248570
STPT(10)	2162464787318956997	0 2 30 32 60 62 90 92 120 122	1656648087270
SPT(16)	2162465400017813713	0 124 168 190 210 238 250 298 366 414 426 454 474 496 540 664	2269346943986