Prime p₀= 2066768320299196601 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Cruncher Pete
db: batch=80, k=10, 2 4 2 40 2

SPT(16)	2066766962851428157	0 124 130 132 160 222 270 280 306 316 364 426 454 456 462 586	-1357447768444
STPT(10)	2066767013918529467	0 2 30 32 42 44 54 56 84 86	-1306380667134
STPT(10)	2066767446775618127	0 2 90 92 102 104 114 116 204 206	-873523578474
SPT(16)	2066767734734840869	0 30 34 40 72 78 88 90 112 114 124 130 162 168 172 202	-585564355732
SPT(16)	2066767843312939163	0 14 24 68 134 144 248 260 294 306 410 420 486 530 540 554	-476986257438
SPT(16)	2066768309288791007	0 60 72 74 86 104 162 216 350 404 462 480 492 494 506 566	-11010405594
SPT(16)	2066768378671759561	0 16 18 42 52 66 96 102 106 112 142 156 166 190 192 208	58372562960
SPT(16)	2066768562783247733	0 50 56 68 98 104 114 144 170 200 210 216 246 258 264 314	242484051132
STPT(10)	2066768740494079007	0 2 12 14 42 44 72 74 84 86	420194882406
STPT(10)	2066768883461277839	0 2 18 20 30 32 42 44 60 62	563162081238
SPT(16)	2066769044961965567	0 32 42 56 66 72 80 86 210 216 224 230 240 254 264 296	724662768966