Prime p₀= 1165417007261312747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

STPT(10)	1165416239956707647	0 2 30 32 42 44 54 56 84 86	-767304605100
SPT(16)	1165416406166708221	0 40 52 102 192 240 250 256 276 282 292 340 430 480 492 532	-601094604526
SPT(18)	1165416417256989251	0 8 12 50 60 102 126 138 158 180 200 212 236 278 288 326 330 338	-590004323496
STPT(10)	1165416585910691669	0 2 18 20 60 62 102 104 120 122	-421350621078
SPT(20)	1165416842941714417	0 6 22 60 82 112 160 216 292 306 370 384 460 516 564 594 616 654 670 676	-164319598330
SPT(16)	1165416865333798223	0 14 44 66 86 110 144 180 284 320 354 378 398 420 450 464	-141927514524
SPT(16)	1165417086189280051	0 10 30 36 70 102 136 142 156 162 196 228 262 268 288 298	78927967304
SPT(16)	1165417168473182501	0 6 32 38 42 62 90 92 156 158 186 206 210 216 242 248	161211869754
SPT(16)	1165417417500361763	0 36 44 80 86 140 210 218 366 374 444 498 504 540 548 584	410239049016
STPT(10)	1165417533091351019	0 2 18 20 30 32 42 44 60 62	525830038272
SPT(16)	1165417808936838481	0 78 90 100 142 160 222 238 252 268 330 348 390 400 412 490	801675525734