Prime p₀= 2999681655857635277 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

STPT(12)	2999680227515022017	0 2 42 44 72 74 192 194 222 224 264 266	-1428342613260
TPT(14)	2999680854292717919	0 2 30 32 60 62 132 134 210 212 240 242 282 284	-801564917358
SPT(16)	2999681199672379697	0 30 56 126 146 170 200 224 312 336 366 390 410 480 506 536	-456185255580
TPT(14)	2999681276283324131	0 2 30 32 78 80 228 230 288 290 300 302 438 440	-379574311146
SPT(16)	2999681414683383151	0 12 30 52 82 88 108 208 210 310 330 336 366 388 406 418	-241174252126
SPT(16)	2999681653143349217	0 30 54 72 80 96 114 186 290 362 380 396 404 422 446 476	-2714286060
SPT(16)	2999681956691064217	0 4 24 30 42 100 172 180 214 222 294 352 364 370 390 394	300833428940
SPT(16)	2999682089544402523	0 10 24 28 46 60 78 136 228 286 304 318 336 340 354 364	433686767246
STPT(10)	2999682470003649107	0 2 30 32 42 44 54 56 84 86	814146013830
STPT(10)	2999682555890495771	0 2 6 8 18 20 30 32 36 38	900032860494
SPT(16)	2999682579314841509	0 18 50 78 92 122 150 188 264 302 330 360 374 402 434 452	923457206232