Prime p₀= 820189706131206119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Theadalus
db: batch=73, k=10, 2 40 2 16 2

TPT(14)	820189014992280707	0 2 12 14 42 44 54 56 90 92 222 224 270 272	-691138925412
STPT(10)	820189057667992877	0 2 12 14 72 74 132 134 144 146	-648463213242
SPT(16)	820189107107988533	0 38 44 48 168 198 264 270 278 284 350 380 500 504 510 548	-599023217586
SPT(16)	820189180255578121	0 6 28 42 60 76 136 156 172 192 252 268 286 300 322 328	-525875627998
STPT(10)	820189218532155149	0 2 18 20 30 32 42 44 60 62	-487599050970
STPT(10)	820189315864267379	0 2 30 32 60 62 90 92 120 122	-390266938740
SPT(16)	820189787512054159	0 22 30 48 70 90 100 124 198 222 232 252 274 292 300 322	81380848040
STPT(10)	820189813367197457	0 2 30 32 60 62 90 92 120 122	107235991338
SPT(16)	820189919667121039	0 70 82 84 100 102 142 144 178 180 220 222 238 240 252 322	213535914920
STPT(12)	820189919667121121	0 2 18 20 60 62 96 98 138 140 156 158	213535915002
STPT(10)	820189955402485607	0 2 30 32 60 62 90 92 120 122	249271279488