Prime p₀= 2327592537093311867 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2327591244098919941	0 2 6 8 18 20 30 32 36 38	-1292994391926
SPT(16)	2327591398934557499	0 20 42 150 198 228 242 248 252 258 272 302 350 458 480 500	-1138158754368
SPT(16)	2327591499594696199	0 22 54 90 102 124 142 190 222 270 288 310 322 358 390 412	-1037498615668
SPT(16)	2327591519945275781	0 8 26 42 60 66 126 138 140 152 212 218 236 252 270 278	-1017148036086
TPT(14)	2327591702329624061	0 2 36 38 60 62 78 80 210 212 216 218 246 248	-834763687806
STPT(12)	2327592225146590847	0 2 12 14 54 56 90 92 132 134 144 146	-311946721020
STPT(12)	2327592747152037089	0 2 18 20 30 32 60 62 72 74 90 92	210058725222
STPT(10)	2327593215039513137	0 2 54 56 192 194 330 332 384 386	677946201270
SPT(16)	2327593324062494557	0 16 24 40 66 84 90 112 114 136 142 160 186 202 210 226	786969182690
SPT(16)	2327593383751545499	0 18 30 64 132 148 198 210 262 274 324 340 408 442 454 472	846658233632
TPT(14)	2327593566587994821	0 2 6 8 96 98 348 350 408 410 420 422 426 428	1029494682954