Prime p₀= 2100804263146158587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: Landjunge
db: batch=80, k=10, 2 52 2 76 2

TPT(14)	2100802574554572701	0 2 36 38 168 170 180 182 348 350 360 362 366 368	-1688591585886
STPT(10)	2100802807864998701	0 2 36 38 78 80 120 122 156 158	-1455281159886
SPT(16)	2100803038465026107	0 14 60 102 116 132 174 192 224 242 284 300 314 356 402 416	-1224681132480
SPT(16)	2100803146027415677	0 46 72 94 130 172 204 234 352 382 414 456 492 514 540 586	-1117118742910
SPT(16)	2100803314474995797	0 6 44 144 162 174 182 206 210 234 242 254 272 372 410 416	-948671162790
TPT(14)	2100803414876226791	0 2 66 68 96 98 120 122 126 128 168 170 210 212	-848269931796
SPT(16)	2100804797948056037	0 6 12 32 36 80 96 116 126 146 162 206 210 230 236 242	534801897450
SPT(16)	2100805240018167451	0 16 40 82 108 192 228 238 240 250 286 370 396 438 462 478	976872008864
STPT(10)	2100805320925437557	0 2 12 14 72 74 132 134 144 146	1057779278970
SPT(20)	2100805574932573549	0 10 18 94 120 132 144 160 178 190 192 204 222 238 250 262 288 364 372 382	1311786414962
STPT(10)	2100805814523351497	0 2 42 44 72 74 102 104 144 146	1551377192910