Prime p₀= 2021097584252066657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2021095952218461089	0 20 30 54 80 104 170 200 264 294 360 384 410 434 444 464	-1632033605568
SPT(16)	2021096062442003161	0 18 88 90 150 216 226 238 240 252 262 328 388 390 460 478	-1521810063496
SPT(16)	2021096539065491047	0 12 30 52 84 96 114 166 270 322 340 352 384 406 424 436	-1045186575610
TPT(14)	2021097094326217547	0 2 12 14 90 92 300 302 330 332 432 434 462 464	-489925849110
STPT(10)	2021097312004115669	0 2 18 20 60 62 102 104 120 122	-272247950988
TPT(14)	2021097543791809517	0 2 24 26 60 62 84 86 114 116 144 146 150 152	-40460257140
STPT(10)	2021097671729024879	0 2 48 50 90 92 132 134 180 182	87476958222
STPT(10)	2021097712906043267	0 2 12 14 42 44 72 74 84 86	128653976610
STPT(10)	2021097778202289539	0 2 18 20 30 32 42 44 60 62	193950222882
SPT(16)	2021098029663895109	0 72 92 98 132 152 212 224 258 270 330 350 384 390 410 482	445411828452
STPT(10)	2021098405871069849	0 2 42 44 60 62 78 80 120 122	821619003192