Prime p₀= 2307229750945664957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Alnitak2019
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2307227057879472077	0 24 60 84 90 140 156 164 192 200 216 266 272 296 332 356	-2693066192880
SPT(16)	2307227532506706409	0 42 48 168 172 220 222 262 420 460 462 510 514 634 640 682	-2218438958548
STPT(10)	2307228009444418259	0 2 42 44 90 92 138 140 180 182	-1741501246698
SPT(16)	2307228095449957721	0 12 32 56 62 110 138 152 186 200 228 276 282 306 326 338	-1655495707236
SPT(16)	2307228489633107657	0 30 60 96 122 144 180 206 240 266 302 324 350 386 416 446	-1261312557300
SPT(16)	2307228794016587003	0 36 56 66 120 146 170 206 384 420 444 470 524 534 554 590	-956929077954
STPT(10)	2307230318960027567	0 2 12 14 42 44 72 74 84 86	568014362610
SPT(16)	2307230863254136453	0 28 30 34 40 60 78 90 154 166 184 204 210 214 216 244	1112308471496
STPT(10)	2307231254755366739	0 2 48 50 60 62 72 74 120 122	1503809701782
SPT(16)	2307231471061371581	0 6 62 80 102 146 156 180 242 266 276 320 342 360 416 422	1720115706624
STPT(10)	2307231505436808647	0 2 30 32 72 74 114 116 144 146	1754491143690