Prime p₀= 2066345275746679271 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: gemini8
db: batch=80, k=10, 2 34 2 40 2

STPT(10)	2066344329100261421	0 2 30 32 78 80 126 128 156 158	-946646417850
TPT(14)	2066344335816360461	0 2 30 32 78 80 108 110 180 182 198 200 240 242	-939930318810
SPT(16)	2066344338174379421	0 60 86 168 170 242 252 270 368 386 396 468 470 552 578 638	-937572299850
SPT(16)	2066344476210521957	0 2 24 36 104 132 140 146 150 156 164 192 260 272 294 296	-799536157314
SPT(16)	2066344809852709781	0 6 30 66 90 132 140 150 152 162 170 212 236 272 296 302	-465893969490
STPT(10)	2066344836112411109	0 2 48 50 90 92 132 134 180 182	-439634268162
SPT(16)	2066345388941565211	0 18 42 78 102 120 142 162 166 186 208 226 250 286 310 328	113194885940
STPT(10)	2066345434219066067	0 2 12 14 42 44 72 74 84 86	158472386796
STPT(10)	2066345494301884889	0 2 42 44 60 62 78 80 120 122	218555205618
SPT(16)	2066345682505331147	0 50 86 110 120 156 182 186 320 324 350 386 396 420 456 506	406758651876
SPT(16)	2066345831074586329	0 22 30 34 42 88 112 114 118 120 144 190 198 202 210 232	555327907058