Prime p₀= 806809505902279931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: GLeeM
db: batch=73, k=10, 2 4 2 10 2

TPT(14)	806807488943140427	0 2 12 14 30 32 42 44 114 116 162 164 252 254	-2016959139504
SPT(16)	806807512665230653	0 48 58 90 114 120 168 180 388 400 448 454 478 510 520 568	-1993237049278
SPT(16)	806807656672962653	0 8 18 48 60 78 90 98 120 128 140 158 170 200 210 218	-1849229317278
STPT(10)	806807689904701271	0 2 96 98 138 140 180 182 276 278	-1815997578660
STPT(10)	806808242443234859	0 2 18 20 60 62 102 104 120 122	-1263459045072
SPT(16)	806808475799651051	0 30 60 68 72 102 138 182 228 272 308 338 342 350 380 410	-1030102628880
STPT(10)	806809822968211499	0 2 48 50 90 92 132 134 180 182	317065931568
STPT(10)	806810082494911091	0 2 36 38 78 80 120 122 156 158	576592631160
STPT(10)	806810296447953977	0 2 90 92 132 134 174 176 264 266	790545674046
SPT(16)	806810328920621099	0 48 50 62 98 120 128 132 140 144 152 174 210 222 224 272	823018341168
SPT(16)	806810413337399827	0 10 46 52 70 94 136 142 264 270 312 336 354 360 396 406	907435119896