Prime p₀= 2066758749868203509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2066757871533867989	0 2 78 80 120 122 162 164 240 242	-878334335520
SPT(18)	2066758156148901571	0 6 16 96 160 178 180 186 208 270 292 298 300 318 382 462 472 478	-593719301938
SPT(16)	2066758180270902901	0 40 96 100 142 160 180 250 312 382 402 420 462 466 522 562	-569597300608
STPT(10)	2066758433341193477	0 2 30 32 72 74 114 116 144 146	-316527010032
SPT(16)	2066758540873961969	0 14 24 60 62 80 104 114 158 168 192 210 212 248 258 272	-208994241540
STPT(10)	2066758542538342439	0 2 42 44 90 92 138 140 180 182	-207329861070
SPT(16)	2066758789247944399	0 24 40 112 114 130 142 154 168 180 192 208 210 282 298 322	39379740890
SPT(16)	2066759317177790639	0 32 68 74 92 162 174 180 182 188 200 270 288 294 330 362	567309587130
STPT(10)	2066759376439867997	0 2 24 26 42 44 60 62 84 86	626571664488
TPT(14)	2066759382971655257	0 2 30 32 54 56 132 134 222 224 240 242 294 296	633103451748
SPT(16)	2066759389701086459	0 78 140 144 158 200 210 224 324 338 348 390 404 408 470 548	639832882950