Prime p₀= 810569814764945537 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: jozef j
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	810569086989220409	0 2 42 44 90 92 138 140 180 182	-727775725128
STPT(10)	810569297856253499	0 2 12 14 90 92 168 170 180 182	-516908692038
SPT(16)	810569509014167821	0 28 36 46 58 100 130 142 156 168 198 240 252 262 270 298	-305750777716
TPT(14)	810569661480941837	0 2 12 14 24 26 102 104 144 146 192 194 210 212	-153284003700
SPT(16)	810569674228843871	0 60 72 90 128 140 170 198 242 270 300 312 350 368 380 440	-140536101666
TPT(14)	810569700729682559	0 2 12 14 30 32 78 80 108 110 162 164 210 212	-114035262978
STPT(10)	810569816176045997	0 2 30 32 42 44 54 56 84 86	1411100460
SPT(22)	810570195535306379	0 38 68 84 104 108 120 140 210 222 224 258 260 272 342 362 374 378 398 414 444 482	380770360842
SPT(16)	810570402582210701	0 2 90 98 140 156 158 186 242 270 272 288 330 338 426 428	587817265164
SPT(16)	810570404770733137	0 6 42 60 66 90 126 136 150 160 196 220 226 244 280 286	590005787600
SPT(16)	810570979317016129	0 4 154 174 202 220 252 262 270 280 312 330 358 378 528 532	1164552070592