Prime p₀= 2356072474322259359 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: Paul
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2356070289828031319	0 2 12 14 90 92 168 170 180 182	-2184494228040
SPT(16)	2356070774651533417	0 4 24 76 144 156 216 244 252 280 340 352 420 472 492 496	-1699670725942
STPT(10)	2356070835711842099	0 2 12 14 90 92 168 170 180 182	-1638610417260
SPT(16)	2356071384436422437	0 44 56 80 134 176 206 222 224 240 270 312 366 390 402 446	-1089885836922
STPT(10)	2356071519206600477	0 2 42 44 72 74 102 104 144 146	-955115658882
STPT(10)	2356071931702435547	0 2 30 32 42 44 54 56 84 86	-542619823812
SPT(16)	2356072599675736979	0 38 74 78 90 104 120 144 164 188 204 218 230 234 270 308	125353477620
SPT(16)	2356072700656673773	0 66 78 106 228 250 256 298 378 420 426 448 570 598 610 676	226334414414
TPT(14)	2356072709724312407	0 2 12 14 330 332 372 374 384 386 420 422 462 464	235402053048
SPT(16)	2356072769049190531	0 18 40 42 90 118 142 162 208 228 252 280 328 330 352 370	294726931172
SPT(16)	2356073055519489991	0 42 60 70 138 156 168 226 252 310 322 340 408 418 436 478	581197230632