Prime p₀= 2066309200116145667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Cruncher Pete
db: batch=80, k=10, 2 40 2 28 2

STPT(10)	2066308008665184239	0 2 48 50 90 92 132 134 180 182	-1191450961428
SPT(16)	2066308082786736317	0 6 12 36 50 86 90 146 210 266 270 306 320 344 350 356	-1117329409350
STPT(10)	2066308119476107019	0 2 42 44 60 62 78 80 120 122	-1080640038648
SPT(16)	2066308308376293353	0 8 30 60 66 80 150 194 210 254 324 338 344 374 396 404	-891739852314
SPT(16)	2066308464769833199	0 12 34 82 88 94 112 172 180 240 258 264 270 318 340 352	-735346312468
SPT(16)	2066308820501923271	0 36 50 68 150 222 302 306 332 336 416 488 570 588 602 638	-379614222396
STPT(10)	2066309438037061211	0 2 36 38 78 80 120 122 156 158	237920915544
STPT(10)	2066309454948474467	0 2 30 32 42 44 54 56 84 86	254832328800
STPT(10)	2066309572987748951	0 2 30 32 78 80 126 128 156 158	372871603284
SPT(16)	2066309822521437263	0 8 14 50 56 68 144 150 194 200 276 288 294 330 336 344	622405291596
STPT(10)	2066310287440188677	0 2 24 26 42 44 60 62 84 86	1087324043010