Prime p₀= 2040214300977829589 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: Dingo
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2040212778829045157	0 2 30 32 42 44 54 56 84 86	-1522148784432
SPT(16)	2040212891744328473	0 14 30 50 60 74 110 116 198 204 240 254 264 284 300 314	-1409233501116
SPT(16)	2040213011991861391	0 16 28 48 60 72 88 132 136 180 196 208 220 240 252 268	-1288985968198
STPT(10)	2040213376080932357	0 2 30 32 42 44 54 56 84 86	-924896897232
TPT(14)	2040213521209791227	0 2 42 44 84 86 150 152 234 236 240 242 264 266	-779768038362
SPT(16)	2040213667084899409	0 4 22 70 244 250 270 334 468 532 552 558 732 780 798 802	-633892930180
SPT(16)	2040214819254984829	0 78 88 100 130 142 178 190 282 294 330 342 372 384 394 472	518277155240
STPT(10)	2040214925978213627	0 2 30 32 42 44 54 56 84 86	625000384038
STPT(10)	2040215056544490071	0 2 36 38 78 80 120 122 156 158	755566660482
STPT(10)	2040215082938652647	0 2 30 32 42 44 54 56 84 86	781960823058
TPT(14)	2040215149130450141	0 2 66 68 78 80 90 92 120 122 150 152 180 182	848152620552