Prime p₀= 1165416239956707647 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

SPT(16)	1165414567383234557	0 12 20 26 32 36 42 60 86 104 110 114 120 126 134 146	-1672573473090
SPT(16)	1165414822492772497	0 10 16 42 76 90 136 142 144 150 196 210 244 270 276 286	-1417463935150
STPT(10)	1165414920027001307	0 2 42 44 72 74 102 104 144 146	-1319929706340
SPT(16)	1165415523057163333	0 28 36 46 54 60 70 120 124 174 184 190 198 208 216 244	-716899544314
STPT(10)	1165415993284855757	0 2 12 14 132 134 252 254 264 266	-246671851890
SPT(16)	1165416151021031969	0 2 42 44 50 138 152 234 278 360 374 462 468 470 510 512	-88935675678
SPT(16)	1165416406166708221	0 40 52 102 192 240 250 256 276 282 292 340 430 480 492 532	166210000574
SPT(18)	1165416417256989251	0 8 12 50 60 102 126 138 158 180 200 212 236 278 288 326 330 338	177300281604
STPT(10)	1165416585910691669	0 2 18 20 60 62 102 104 120 122	345953984022
SPT(20)	1165416842941714417	0 6 22 60 82 112 160 216 292 306 370 384 460 516 564 594 616 654 670 676	602985006770
SPT(16)	1165416865333798223	0 14 44 66 86 110 144 180 284 320 354 378 398 420 450 464	625377090576