Prime p₀= 2363019789466110347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: suriv
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2363018218162933589	0 24 44 74 90 104 144 174 224 254 294 308 324 354 374 398	-1571303176758
STPT(10)	2363018249764781129	0 2 138 140 180 182 222 224 360 362	-1539701329218
STPT(10)	2363019017654149469	0 2 18 20 30 32 42 44 60 62	-771811960878
SPT(18)	2363019371965170407	0 12 42 62 90 102 140 152 180 194 222 234 272 284 312 332 362 374	-417500939940
SPT(13)	2363019497625950249	0 30 42 48 78 108 120 132 162 192 198 210 240	-291840160098
STPT(12)	2363019605103453809	0 2 60 62 102 104 198 200 240 242 300 302	-184362656538
STPT(10)	2363020249142412491	0 2 30 32 78 80 126 128 156 158	459676302144
SPT(16)	2363020652836203907	0 4 22 30 46 60 82 106 120 144 166 180 196 204 222 226	863370093560
STPT(10)	2363020660146913367	0 2 12 14 42 44 72 74 84 86	870680803020
STPT(10)	2363021130443812121	0 2 6 8 48 50 90 92 96 98	1340977701774
SPT(16)	2363021312475590831	0 18 56 60 108 150 180 186 302 308 338 380 428 432 470 488	1523009480484