Prime p₀= 820189813367197457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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 28 2 28 2

SPT(16)	820189107107988533	0 38 44 48 168 198 264 270 278 284 350 380 500 504 510 548	-706259208924
SPT(16)	820189180255578121	0 6 28 42 60 76 136 156 172 192 252 268 286 300 322 328	-633111619336
STPT(10)	820189218532155149	0 2 18 20 30 32 42 44 60 62	-594835042308
STPT(10)	820189315864267379	0 2 30 32 60 62 90 92 120 122	-497502930078
STPT(10)	820189706131206119	0 2 42 44 60 62 78 80 120 122	-107235991338
SPT(16)	820189787512054159	0 22 30 48 70 90 100 124 198 222 232 252 274 292 300 322	-25855143298
SPT(16)	820189919667121039	0 70 82 84 100 102 142 144 178 180 220 222 238 240 252 322	106299923582
STPT(12)	820189919667121121	0 2 18 20 60 62 96 98 138 140 156 158	106299923664
STPT(10)	820189955402485607	0 2 30 32 60 62 90 92 120 122	142035288150
STPT(10)	820190172510979727	0 2 30 32 72 74 114 116 144 146	359143782270
STPT(10)	820190332598068181	0 2 36 38 78 80 120 122 156 158	519230870724