Prime p₀= 2069647804183568417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2069646854040635599	0 10 48 64 70 88 132 142 330 340 384 402 408 424 462 472	-950142932818
STPT(10)	2069646863594066987	0 2 24 26 42 44 60 62 84 86	-940589501430
STPT(10)	2069647093969606469	0 2 42 44 90 92 138 140 180 182	-710213961948
TPT(14)	2069647456869573419	0 2 18 20 42 44 60 62 168 170 180 182 222 224	-347313994998
SPT(13)	2069647552236312353	0 18 30 114 120 144 204 264 288 294 378 390 408	-251947256064
TPT(14)	2069647682220242669	0 2 30 32 198 200 210 212 240 242 270 272 492 494	-121963325748
SPT(16)	2069647924239633277	0 40 42 70 166 172 180 210 232 262 270 276 372 400 402 442	120056064860
SPT(16)	2069648029339719427	0 4 60 84 100 114 144 180 286 322 352 366 382 406 462 466	225156151010
SPT(16)	2069648301406908581	0 2 6 50 98 128 140 150 188 198 210 240 288 332 336 338	497223340164
SPT(16)	2069648825212728307	0 4 30 70 150 172 274 276 400 402 504 526 606 646 672 676	1021029159890
SPT(16)	2069649262978638457	0 12 30 42 54 70 72 84 100 112 114 130 142 154 172 184	1458795070040