Prime p₀= 2322887242823985977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: MarkRBright
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2322886089150827489	0 2 48 50 78 80 120 122 240 242 282 284 288 290	-1153673158488
STPT(10)	2322886220534772437	0 2 30 32 42 44 54 56 84 86	-1022289213540
SPT(16)	2322886377189277261	0 18 22 112 120 162 238 250 258 270 346 388 396 486 490 508	-865634708716
TPT(14)	2322886403704026707	0 2 54 56 120 122 180 182 252 254 282 284 360 362	-839119959270
STPT(10)	2322886471560858989	0 2 42 44 60 62 78 80 120 122	-771263126988
SPT(13)	2322886537627783063	0 30 60 96 180 186 198 210 216 300 336 366 396	-705196202914
SPT(16)	2322887953828200637	0 22 40 90 112 132 172 190 222 240 280 300 322 372 390 412	711004214660
STPT(10)	2322888309599563241	0 2 6 8 48 50 90 92 96 98	1066775577264
SPT(16)	2322888360715157273	0 26 36 48 56 78 90 96 128 134 146 168 176 188 198 224	1117891171296
SPT(16)	2322888447961793911	0 30 40 52 66 78 156 192 196 232 310 322 336 348 358 388	1205137807934
SPT(16)	2322888903701762141	0 26 42 56 62 132 140 162 230 252 260 330 336 350 366 392	1660877776164