Prime p₀= 2356783257520818947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: arkiss
db: batch=81, k=10, 2 28 2 88 2

SPT(16)	2356781861606387933	0 26 56 78 84 90 128 134 180 186 224 230 236 258 288 314	-1395914431014
SPT(16)	2356782119199399653	0 24 26 90 110 128 156 164 300 308 336 354 374 438 440 464	-1138321419294
TPT(14)	2356782216522127547	0 2 72 74 114 116 294 296 390 392 420 422 504 506	-1040998691400
STPT(10)	2356782376028649377	0 2 30 32 42 44 54 56 84 86	-881492169570
SPT(16)	2356782721791935911	0 18 60 118 126 136 220 222 286 288 372 382 390 448 490 508	-535728883036
SPT(16)	2356783003508340409	0 34 58 142 150 160 162 168 184 190 192 202 210 294 318 352	-254012478538
STPT(10)	2356783607432516147	0 2 30 32 72 74 114 116 144 146	349911697200
STPT(10)	2356783978607542571	0 2 6 8 48 50 90 92 96 98	721086723624
STPT(10)	2356783999604321447	0 2 30 32 42 44 54 56 84 86	742083502500
STPT(10)	2356784047800535667	0 2 30 32 42 44 54 56 84 86	790279716720
STPT(10)	2356784251853391299	0 2 18 20 60 62 102 104 120 122	994332572352