Prime p₀= 2156821506161864909 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 10 2 76 2 10 2 28 2 (?)
a_n: 0 2 42 44 120 122 132 134 210 212 222 224 252 254
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: 254
Found by: Penguin
db: batch=81, k=14, 40 76 10 76 10 28

SPT(16)	2156817478734127273	0 4 28 36 78 96 106 148 186 228 238 256 298 306 330 334	-4027427737636
STPT(10)	2156817689292209759	0 2 12 14 30 32 48 50 60 62	-3816869655150
SPT(16)	2156817706878769801	0 40 70 72 150 172 196 210 268 282 306 328 406 408 438 478	-3799283095108
TPT(14)	2156819617136008499	0 2 42 44 132 134 138 140 162 164 210 212 330 332	-1889025856410
STPT(10)	2156820123286726517	0 2 42 44 72 74 102 104 144 146	-1382875138392
STPT(10)	2156821496656083767	0 2 42 44 72 74 102 104 144 146	-9505781142
SPT(16)	2156821518484423649	0 14 78 134 192 204 224 234 248 258 278 290 348 404 468 482	12322558740
STPT(10)	2156821573251546587	0 2 12 14 42 44 72 74 84 86	67089681678
SPT(16)	2156821930627923239	0 18 20 24 42 80 92 162 170 240 252 290 308 312 314 332	424466058330
SPT(16)	2156822299918650593	0 8 20 66 80 104 120 138 176 194 210 234 248 294 306 314	793756785684
SPT(16)	2156822464168106957	0 6 60 62 122 134 146 162 164 180 192 204 264 266 320 326	958006242048