Prime p₀= 2066767013918529467 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: Cruncher Pete
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2066765781626099929	0 12 58 88 90 118 148 180 232 264 294 322 324 354 400 412	-1232292429538
SPT(16)	2066765838436845089	0 14 20 60 110 120 168 318 344 494 542 552 602 642 648 662	-1175481684378
SPT(16)	2066766197033150471	0 42 62 66 68 96 140 162 236 258 302 330 332 336 356 398	-816885378996
STPT(10)	2066766635072442131	0 2 6 8 48 50 90 92 96 98	-378846087336
SPT(16)	2066766649562466983	0 6 14 24 66 96 98 140 174 216 218 248 290 300 308 314	-364356062484
SPT(16)	2066766962851428157	0 124 130 132 160 222 270 280 306 316 364 426 454 456 462 586	-51067101310
STPT(10)	2066767446775618127	0 2 90 92 102 104 114 116 204 206	432857088660
SPT(16)	2066767734734840869	0 30 34 40 72 78 88 90 112 114 124 130 162 168 172 202	720816311402
SPT(16)	2066767843312939163	0 14 24 68 134 144 248 260 294 306 410 420 486 530 540 554	829394409696
SPT(16)	2066768309288791007	0 60 72 74 86 104 162 216 350 404 462 480 492 494 506 566	1295370261540
STPT(10)	2066768320299196601	0 2 6 8 48 50 90 92 96 98	1306380667134