Prime p₀= 1165417842646945187 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1165417007261312747	0 2 30 32 42 44 54 56 84 86	-835385632440
SPT(16)	1165417086189280051	0 10 30 36 70 102 136 142 156 162 196 228 262 268 288 298	-756457665136
SPT(16)	1165417168473182501	0 6 32 38 42 62 90 92 156 158 186 206 210 216 242 248	-674173762686
SPT(16)	1165417417500361763	0 36 44 80 86 140 210 218 366 374 444 498 504 540 548 584	-425146583424
STPT(10)	1165417533091351019	0 2 18 20 30 32 42 44 60 62	-309555594168
SPT(16)	1165417808936838481	0 78 90 100 142 160 222 238 252 268 330 348 390 400 412 490	-33710106706
STPT(10)	1165418025832228349	0 2 18 20 30 32 42 44 60 62	183185283162
SPT(16)	1165418094880886971	0 36 42 46 60 70 88 106 132 150 168 178 192 196 202 238	252233941784
SPT(16)	1165418100490395863	0 24 30 38 44 80 86 114 200 228 234 270 276 284 290 314	257843450676
STPT(10)	1165418200107920789	0 2 18 20 30 32 42 44 60 62	357460975602
STPT(10)	1165418483573424929	0 2 30 32 60 62 90 92 120 122	640926479742