Prime p₀= 2458851730356791849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: JayPi
db: batch=82, k=10, 2 46 2 10 2

SPT(16)	2458850644120350379	0 34 48 58 60 72 84 100 102 118 130 142 144 154 168 202	-1086236441470
STPT(10)	2458850734349123369	0 2 12 14 90 92 168 170 180 182	-996007668480
SPT(16)	2458850887421248009	0 60 72 160 328 330 348 408 424 484 502 504 672 760 772 832	-842935543840
STPT(10)	2458851010788445421	0 2 36 38 78 80 120 122 156 158	-719568346428
STPT(10)	2458851202285333979	0 2 12 14 30 32 48 50 60 62	-528071457870
STPT(10)	2458851382844097149	0 2 18 20 30 32 42 44 60 62	-347512694700
SPT(16)	2458851885785740187	0 72 186 240 246 260 264 270 386 392 396 410 416 470 584 656	155428948338
SPT(16)	2458852065539896421	0 6 48 50 90 132 150 192 236 278 296 338 378 380 422 428	335183104572
STPT(10)	2458852171284243101	0 2 6 8 48 50 90 92 96 98	440927451252
SPT(16)	2458852569665693209	0 28 54 60 88 100 108 142 150 184 192 204 232 238 264 292	839308901360
SPT(16)	2458852578270779071	0 12 40 52 66 106 108 138 220 250 252 292 306 318 346 358	847913987222