Prime p₀= 1165417533091351019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

SPT(20)	1165416842941714417	0 6 22 60 82 112 160 216 292 306 370 384 460 516 564 594 616 654 670 676	-690149636602
SPT(16)	1165416865333798223	0 14 44 66 86 110 144 180 284 320 354 378 398 420 450 464	-667757552796
STPT(10)	1165417007261312747	0 2 30 32 42 44 54 56 84 86	-525830038272
SPT(16)	1165417086189280051	0 10 30 36 70 102 136 142 156 162 196 228 262 268 288 298	-446902070968
SPT(16)	1165417168473182501	0 6 32 38 42 62 90 92 156 158 186 206 210 216 242 248	-364618168518
SPT(16)	1165417417500361763	0 36 44 80 86 140 210 218 366 374 444 498 504 540 548 584	-115590989256
SPT(16)	1165417808936838481	0 78 90 100 142 160 222 238 252 268 330 348 390 400 412 490	275845487462
STPT(10)	1165417842646945187	0 2 24 26 42 44 60 62 84 86	309555594168
STPT(10)	1165418025832228349	0 2 18 20 30 32 42 44 60 62	492740877330
SPT(16)	1165418094880886971	0 36 42 46 60 70 88 106 132 150 168 178 192 196 202 238	561789535952
SPT(16)	1165418100490395863	0 24 30 38 44 80 86 114 200 228 234 270 276 284 290 314	567399044844