Prime p₀= 2315726631842082461 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2315725234147279217	0 74 92 102 134 152 162 222 224 284 294 312 344 354 372 446	-1397694803244
SPT(16)	2315725306128242609	0 2 72 90 104 122 210 234 338 362 450 468 482 500 570 572	-1325713839852
SPT(16)	2315725317006453943	0 16 34 96 114 204 216 226 264 274 286 376 394 456 474 490	-1314835628518
STPT(10)	2315725418258441219	0 2 18 20 30 32 42 44 60 62	-1213583641242
SPT(16)	2315726034932601131	0 12 38 60 78 80 140 150 170 180 240 242 260 282 308 320	-596909481330
SPT(16)	2315726243401134229	0 24 30 42 72 78 108 124 138 154 184 190 220 232 238 262	-388440948232
STPT(10)	2315727184228266671	0 2 30 32 78 80 126 128 156 158	552386184210
TPT(14)	2315727854785800179	0 2 30 32 48 50 60 62 90 92 132 134 138 140	1222943717718
SPT(16)	2315727856569526433	0 30 80 108 138 150 194 240 308 354 398 410 440 468 518 548	1224727443972
STPT(10)	2315728457012670611	0 2 6 8 18 20 30 32 36 38	1825170588150
SPT(16)	2315728933507724107	0 46 72 106 114 190 234 270 286 322 366 442 450 484 510 556	2301665641646