Prime p₀= 2872747177321092857 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2872745938843802027	0 2 30 32 42 44 54 56 84 86	-1238477290830
SPT(16)	2872746260064710641	0 10 40 76 166 192 208 276 352 420 436 462 552 588 618 628	-917256382216
SPT(16)	2872746383297649533	0 20 38 48 54 104 138 156 188 206 240 290 296 306 324 344	-794023443324
STPT(10)	2872746460252900289	0 2 42 44 60 62 78 80 120 122	-717068192568
SPT(16)	2872746926164876031	0 6 90 102 116 126 146 150 218 222 242 252 266 278 362 368	-251156216826
STPT(10)	2872747086860590361	0 2 36 38 78 80 120 122 156 158	-90460502496
SPT(16)	2872747337639056357	0 16 30 34 42 72 100 130 156 186 214 244 252 256 270 286	160317963500
STPT(10)	2872747412453946239	0 2 42 44 60 62 78 80 120 122	235132853382
STPT(10)	2872747628092673291	0 2 36 38 78 80 120 122 156 158	450771580434
STPT(10)	2872748013307395437	0 2 30 32 42 44 54 56 84 86	835986302580
STPT(10)	2872748201820732407	0 2 12 14 72 74 132 134 144 146	1024499639550