Prime p₀= 2159973181224913991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 10 2 16 2 22 2 4 2 (?)
a_n: 0 2 66 68 126 128 138 140 156 158 180 182 186 188
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: 188
Found by: Landjunge
db: batch=81, k=14, 64 58 10 16 22 4

SPT(16)	2159971351477919839	0 12 34 100 112 114 118 138 244 264 268 270 282 348 370 382	-1829746994152
STPT(10)	2159971602898920047	0 2 12 14 42 44 72 74 84 86	-1578325993944
TPT(14)	2159971696244253341	0 2 6 8 30 32 36 38 48 50 60 62 126 128	-1484980660650
STPT(10)	2159971880875328381	0 2 36 38 78 80 120 122 156 158	-1300349585610
SPT(16)	2159971942530873517	0 12 34 100 132 160 190 204 250 264 294 322 354 420 442 454	-1238694040474
STPT(10)	2159972754490779167	0 2 30 32 60 62 90 92 120 122	-426734134824
SPT(16)	2159973440981496037	0 22 24 36 42 46 52 84 112 144 150 154 160 172 174 196	259756582046
SPT(16)	2159973691859816647	0 16 94 96 124 126 166 232 294 360 400 402 430 432 510 526	510634902656
SPT(16)	2159974277486788759	0 28 84 94 112 148 154 210 232 288 294 330 348 358 414 442	1096261874768
STPT(10)	2159974613172801791	0 2 36 38 78 80 120 122 156 158	1431947887800
SPT(16)	2159974710752531599	0 112 114 124 180 222 234 240 262 268 280 322 378 388 390 502	1529527617608