Prime p₀= 2344856032144004177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 34 2 82 2 34 2 190 2 16 2 (?)
a_n: 0 2 84 86 120 122 204 206 240 242 432 434 450 452
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: 452
Found by: Landjunge
db: batch=81, k=14, 82 34 82 34 190 16

STPT(10)	2344854437269237211	0 2 48 50 108 110 168 170 216 218	-1594874766966
SPT(16)	2344854524697475201	0 66 76 88 90 138 168 186 202 220 250 298 300 312 322 388	-1507446528976
SPT(16)	2344854548957642521	0 10 22 60 108 172 262 268 282 288 378 442 490 528 540 550	-1483186361656
STPT(10)	2344854905514487979	0 2 18 20 30 32 42 44 60 62	-1126629516198
SPT(16)	2344855246745105183	0 24 60 126 140 144 150 200 234 284 290 294 308 374 410 434	-785398898994
SPT(16)	2344855582137274471	0 28 108 118 130 132 136 160 168 192 196 198 210 220 300 328	-450006729706
STPT(10)	2344856398836248819	0 2 18 20 30 32 42 44 60 62	366692244642
STPT(10)	2344856468417441117	0 2 60 62 72 74 84 86 144 146	436273436940
SPT(16)	2344856603902540909	0 12 34 54 60 84 90 130 132 172 178 202 208 228 250 262	571758536732
TPT(14)	2344856899107409229	0 2 48 50 72 74 90 92 132 134 138 140 240 242	866963405052
SPT(16)	2344857008853483919	0 48 72 88 90 120 130 144 268 282 292 322 324 340 364 412	976709479742