Prime p₀= 820189315864267379 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)	820189005104196599	0 14 68 110 128 138 230 258 260 288 380 390 408 450 504 518	-310760070780
TPT(14)	820189014992280707	0 2 12 14 42 44 54 56 90 92 222 224 270 272	-300871986672
STPT(10)	820189057667992877	0 2 12 14 72 74 132 134 144 146	-258196274502
SPT(16)	820189107107988533	0 38 44 48 168 198 264 270 278 284 350 380 500 504 510 548	-208756278846
SPT(16)	820189180255578121	0 6 28 42 60 76 136 156 172 192 252 268 286 300 322 328	-135608689258
STPT(10)	820189218532155149	0 2 18 20 30 32 42 44 60 62	-97332112230
STPT(10)	820189706131206119	0 2 42 44 60 62 78 80 120 122	390266938740
SPT(16)	820189787512054159	0 22 30 48 70 90 100 124 198 222 232 252 274 292 300 322	471647786780
STPT(10)	820189813367197457	0 2 30 32 60 62 90 92 120 122	497502930078
SPT(16)	820189919667121039	0 70 82 84 100 102 142 144 178 180 220 222 238 240 252 322	603802853660
STPT(12)	820189919667121121	0 2 18 20 60 62 96 98 138 140 156 158	603802853742