Prime p₀= 1286454856202740709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 130 2 130 2 76 2 (?)
a_n: 0 2 78 80 210 212 342 344 420 422
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: 422
Found by: HenkM
db: batch=77, k=10, 2 76 2 130 2

STPT(12)	1286453308921854299	0 2 30 32 42 44 78 80 90 92 120 122	-1547280886410
STPT(10)	1286453726205100877	0 2 12 14 72 74 132 134 144 146	-1129997639832
SPT(16)	1286453776325528501	0 60 108 110 138 158 168 192 236 260 270 290 318 320 368 428	-1079877212208
SPT(16)	1286454134499791791	0 36 58 106 112 150 178 190 198 210 238 276 282 330 352 388	-721702948918
SPT(16)	1286454457026482171	0 8 42 60 80 86 126 128 150 152 192 198 218 236 270 278	-399176258538
SPT(16)	1286454510195920183	0 18 20 30 60 74 96 110 174 188 210 224 254 264 266 284	-346006820526
TPT(14)	1286455124151878897	0 2 12 14 102 104 150 152 192 194 264 266 282 284	267949138188
TPT(14)	1286455130077228619	0 2 72 74 138 140 198 200 342 344 378 380 390 392	273874487910
SPT(16)	1286455256045835137	0 42 44 56 66 72 126 146 150 170 224 230 240 252 254 296	399843094428
STPT(10)	1286455285065706037	0 2 60 62 102 104 144 146 204 206	428862965328
SPT(16)	1286455408451931859	0 10 12 42 60 72 84 88 204 208 220 232 250 280 282 292	552249191150