Prime p₀= 2341228592728568729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2341227847547069837	0 2 30 32 72 74 114 116 144 146	-745181498892
STPT(10)	2341227897037897211	0 2 36 38 78 80 120 122 156 158	-695690671518
STPT(10)	2341228099561457177	0 2 30 32 42 44 54 56 84 86	-493167111552
SPT(16)	2341228240868624351	0 12 30 102 110 116 126 132 236 242 252 258 266 338 356 368	-351859944378
SPT(16)	2341228350461539667	0 30 56 72 146 162 170 206 300 336 344 360 434 450 476 506	-242267029062
STPT(10)	2341228498674556187	0 2 12 14 72 74 132 134 144 146	-94054012542
STPT(10)	2341228975789825949	0 2 18 20 60 62 102 104 120 122	383061257220
STPT(10)	2341229105098053017	0 2 12 14 42 44 72 74 84 86	512369484288
SPT(16)	2341229301513281953	0 4 36 88 120 156 180 196 258 274 298 334 366 418 450 454	708784713224
STPT(10)	2341229499730138151	0 2 36 38 78 80 120 122 156 158	907001569422
TPT(14)	2341229510475201761	0 2 30 32 156 158 228 230 258 260 396 398 426 428	917746633032