Prime p₀= 3023850376779449687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Asgard2022
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3023847434961731551	0 52 66 78 120 130 166 172 186 192 228 238 280 292 306 358	-2941817718136
STPT(10)	3023847949176414359	0 2 18 20 30 32 42 44 60 62	-2427603035328
SPT(16)	3023848590618762623	0 30 78 96 98 120 254 264 290 300 434 456 458 476 524 554	-1786160687064
SPT(16)	3023849401260861731	0 6 8 48 60 98 150 152 216 218 270 308 320 360 362 368	-975518587956
STPT(10)	3023849726562982307	0 2 12 14 42 44 72 74 84 86	-650216467380
SPT(16)	3023850012579149311	0 12 46 76 82 120 126 180 238 292 298 336 342 372 406 418	-364200300376
TPT(14)	3023850639485068577	0 2 42 44 72 74 120 122 132 134 270 272 324 326	262705618890
SPT(16)	3023850707035399121	0 12 20 72 102 192 248 290 300 342 398 488 518 570 578 590	330255949434
SPT(16)	3023851043384230357	0 6 36 46 60 102 114 126 160 172 184 226 240 250 280 286	666604780670
STPT(10)	3023851080730460777	0 2 30 32 42 44 54 56 84 86	703951011090
SPT(16)	3023851367877292279	0 12 42 88 90 130 132 144 148 160 162 202 204 250 280 292	991097842592