Prime p₀= 2115170106938621657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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=80, k=10, 2 10 2 28 2

SPT(16)	2115169112034470179	0 10 30 78 100 108 120 130 132 142 154 162 184 232 252 262	-994904151478
SPT(16)	2115169709807653039	0 88 90 94 150 154 160 184 204 228 234 238 294 298 300 388	-397130968618
SPT(16)	2115169852448220611	0 8 72 86 98 102 108 120 158 170 176 180 192 206 270 278	-254490401046
STPT(10)	2115169962607606937	0 2 84 86 132 134 180 182 264 266	-144331014720
STPT(10)	2115169971344000447	0 2 30 32 60 62 90 92 120 122	-135594621210
STPT(10)	2115170094696776807	0 2 30 32 42 44 54 56 84 86	-12241844850
STPT(10)	2115170554397974847	0 2 42 44 72 74 102 104 144 146	447459353190
SPT(16)	2115170628553704343	0 76 88 178 180 240 256 300 304 348 364 424 426 516 528 604	521615082686
STPT(10)	2115171401495240069	0 2 42 44 60 62 78 80 120 122	1294556618412
SPT(16)	2115171616424767861	0 42 52 72 148 210 280 286 402 408 478 540 616 636 646 688	1509486146204
STPT(10)	2115172028803823159	0 2 18 20 60 62 102 104 120 122	1921865201502