Prime p₀= 2682038433605689187 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

SPT(16)	2682037121682710797	0 76 90 136 144 150 166 202 264 300 316 322 330 376 390 466	-1311922978390
SPT(16)	2682037217156937971	0 18 38 62 80 90 170 188 270 288 368 378 396 420 440 458	-1216448751216
STPT(10)	2682037271499590759	0 2 18 20 30 32 42 44 60 62	-1162106098428
TPT(14)	2682037293974934347	0 2 114 116 132 134 210 212 312 314 390 392 552 554	-1139630754840
SPT(16)	2682038228680036439	0 20 30 38 72 114 140 174 188 222 248 290 324 332 342 362	-204925652748
SPT(16)	2682038233115194949	0 50 78 84 90 144 150 164 168 182 188 242 248 254 282 332	-200490494238
STPT(10)	2682038569622682341	0 2 30 32 78 80 126 128 156 158	136016993154
SPT(16)	2682039376722631999	0 28 30 40 84 132 142 192 250 300 310 358 402 412 414 442	943116942812
SPT(16)	2682039635600674663	0 18 28 46 66 124 166 178 216 228 270 328 348 366 376 394	1201994985476
SPT(16)	2682039752916455179	0 28 58 78 178 210 232 240 322 330 352 384 484 504 534 562	1319310765992
SPT(16)	2682039810192512251	0 6 40 70 130 172 180 186 202 208 216 258 318 348 382 388	1376586823064