Prime p₀= 2309345675811127799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2309344796425014329	0 2 42 44 60 62 78 80 120 122	-879386113470
TPT(14)	2309344823654429921	0 2 126 128 150 152 330 332 360 362 378 380 456 458	-852156697878
SPT(16)	2309345028264151517	0 6 44 50 66 122 150 170 216 236 264 320 336 342 380 386	-647546976282
STPT(10)	2309345339340228821	0 2 30 32 78 80 126 128 156 158	-336470898978
SPT(16)	2309345353287393943	0 58 78 90 174 184 210 268 306 364 390 400 484 496 516 574	-322523733856
TPT(14)	2309345566144440839	0 2 12 14 108 110 120 122 162 164 198 200 222 224	-109666686960
STPT(10)	2309345727991981097	0 2 42 44 72 74 102 104 144 146	52180853298
SPT(16)	2309346006317456677	0 36 76 124 126 130 154 174 286 306 330 334 336 384 424 460	330506328878
STPT(10)	2309346158828274101	0 2 6 8 48 50 90 92 96 98	483017146302
SPT(16)	2309346403199060807	0 14 30 32 50 72 86 102 134 150 164 186 204 206 222 236	727387933008
SPT(16)	2309346613019823743	0 56 60 86 116 126 156 158 198 200 230 240 270 296 300 356	937208695944