Prime p₀= 2356418969294883587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: MarkRBright
db: batch=81, k=10, 2 88 2 40 2

TPT(14)	2356418309478532721	0 2 36 38 48 50 240 242 270 272 288 290 396 398	-659816350866
STPT(10)	2356418536815066497	0 2 42 44 72 74 102 104 144 146	-432479817090
STPT(10)	2356418734742607131	0 2 36 38 78 80 120 122 156 158	-234552276456
SPT(16)	2356418773051032527	0 50 54 56 74 92 102 116 120 134 144 162 180 182 186 236	-196243851060
SPT(16)	2356418797624584221	0 72 86 140 152 200 222 278 300 356 378 426 438 492 506 578	-171670299366
STPT(10)	2356418912450920859	0 2 12 14 90 92 168 170 180 182	-56843962728
SPT(16)	2356419122339460371	0 18 36 98 116 138 152 198 200 246 260 282 300 362 380 398	153044576784
SPT(16)	2356419414036567637	0 46 60 66 102 120 156 162 184 190 226 244 280 286 300 346	444741684050
TPT(14)	2356419877670222669	0 2 42 44 48 50 132 134 198 200 222 224 240 242	908375339082
TPT(14)	2356420248683566061	0 2 36 38 150 152 318 320 336 338 360 362 390 392	1279388682474
SPT(16)	2356420509942984899	0 24 60 110 134 144 194 200 228 234 284 294 318 368 404 428	1540648101312