Prime p₀= 1319581992107262857 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: emoga
db: batch=77, k=10, 2 28 2 10 2

SPT(18)	1319579823481939351	0 10 30 52 72 112 118 120 142 168 190 192 198 238 258 280 300 310	-2168625323506
STPT(10)	1319579866103571869	0 2 18 20 30 32 42 44 60 62	-2126003690988
STPT(10)	1319580176698035377	0 2 30 32 72 74 114 116 144 146	-1815409227480
TPT(14)	1319581076644326887	0 2 144 146 294 296 312 314 360 362 474 476 492 494	-915462935970
TPT(16)	1319581552113997829	0 2 138 140 222 224 270 272 312 314 360 362 402 404 438 440	-439993265028
SPT(16)	1319581944724607867	0 32 50 66 86 102 120 150 176 206 224 240 260 276 294 326	-47382654990
TPT(14)	1319582321322136229	0 2 78 80 222 224 282 284 348 350 360 362 378 380	329214873372
STPT(10)	1319582379661453049	0 2 18 20 30 32 42 44 60 62	387554190192
SPT(16)	1319582622608625131	0 30 56 78 92 128 150 168 290 308 330 366 380 402 428 458	630501362274
SPT(16)	1319582736106686781	0 10 30 66 72 100 126 136 192 202 228 256 262 298 318 328	743999423924
STPT(10)	1319582756715743489	0 2 12 14 30 32 48 50 60 62	764608480632