Prime p₀= 2309622575701998017 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: FritzB
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2309621240997495637	0 4 34 72 84 94 112 114 130 132 150 160 172 210 240 244	-1334704502380
STPT(10)	2309621254409122469	0 2 12 14 30 32 48 50 60 62	-1321292875548
SPT(16)	2309621635367096273	0 44 80 84 98 114 150 156 158 164 200 216 230 234 270 314	-940334901744
STPT(10)	2309621640049488131	0 2 6 8 48 50 90 92 96 98	-935652509886
SPT(16)	2309622014912200493	0 26 68 86 96 126 138 170 234 266 278 308 318 336 378 404	-560789797524
STPT(10)	2309622423388564979	0 2 30 32 60 62 90 92 120 122	-152313433038
TPT(16)	2309623170950735459	0 2 30 32 72 74 120 122 138 140 162 164 180 182 222 224	595248737442
SPT(16)	2309623189305822329	0 24 144 150 188 192 210 224 258 272 290 294 332 338 458 482	613603824312
TPT(14)	2309623226678913329	0 2 18 20 60 62 72 74 120 122 162 164 240 242	650976915312
SPT(16)	2309625120709837739	0 20 78 110 132 144 152 210 272 330 338 350 372 404 462 482	2545007839722
SPT(16)	2309625223531745017	0 40 52 70 90 94 132 142 192 202 240 244 264 282 294 334	2647829747000