Prime p₀= 1856315130019868657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 178 2 40 2 34 2 172 2 28 2 (?)
a_n: 0 2 102 104 282 284 324 326 360 362 534 536 564 566
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: 566
Found by: [AF>Libristes] Dudumomo
db: batch=79, k=14, 100 178 40 34 172 28

STPT(10)	1856313431450004851	0 2 36 38 78 80 120 122 156 158	-1698569863806
STPT(10)	1856313818766277691	0 2 6 8 18 20 30 32 36 38	-1311253590966
SPT(16)	1856314044815271311	0 32 48 78 90 102 132 140 180 188 218 230 242 272 288 320	-1085204597346
SPT(16)	1856314167878279579	0 18 30 78 84 120 138 140 198 200 218 254 260 308 320 338	-962141589078
STPT(10)	1856314591974732941	0 2 6 8 18 20 30 32 36 38	-538045135716
STPT(10)	1856314808951303609	0 2 18 20 30 32 42 44 60 62	-321068565048
STPT(10)	1856315433446986079	0 2 72 74 120 122 168 170 240 242	303427117422
STPT(10)	1856315722585528847	0 2 30 32 42 44 54 56 84 86	592565660190
SPT(16)	1856315947304490181	0 42 46 48 72 130 138 142 156 160 168 226 250 252 256 298	817284621524
SPT(16)	1856316153550200539	0 14 38 54 80 120 150 162 170 182 212 252 278 294 318 332	1023530331882
STPT(10)	1856316205218198509	0 2 42 44 60 62 78 80 120 122	1075198329852