Prime p₀= 2423711013539701799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Penguin
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2423708305840285193	0 20 30 36 90 120 146 156 230 240 266 296 350 356 366 386	-2707699416606
SPT(16)	2423708392594893709	0 34 40 48 114 132 142 160 222 240 250 268 334 342 348 382	-2620944808090
STPT(10)	2423708414653608947	0 2 12 14 72 74 132 134 144 146	-2598886092852
STPT(10)	2423709269102639429	0 2 18 20 30 32 42 44 60 62	-1744437062370
STPT(10)	2423709359890037897	0 2 30 32 42 44 54 56 84 86	-1653649663902
STPT(10)	2423710825122630221	0 2 6 8 48 50 90 92 96 98	-188417071578
SPT(16)	2423711301475999153	0 10 34 58 90 126 138 154 180 196 208 244 276 300 324 334	287936297354
STPT(10)	2423711319585636131	0 2 6 8 18 20 30 32 36 38	306045934332
SPT(16)	2423711428472893963	0 34 40 60 66 70 76 88 126 138 144 148 154 174 180 214	414933192164
SPT(16)	2423711517159510521	0 62 98 150 240 270 272 296 312 336 338 368 458 510 546 608	503619808722
SPT(16)	2423711748143128567	0 4 12 34 36 40 82 106 150 174 216 220 222 244 252 256	734603426768