Prime p₀= 2302050796724529197 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: JayPi
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2302048906197078697	0 22 40 46 66 102 120 142 150 172 190 226 246 252 270 292	-1890527450500
STPT(10)	2302049128375966757	0 2 60 62 72 74 84 86 144 146	-1668348562440
STPT(10)	2302049270884295627	0 2 30 32 60 62 90 92 120 122	-1525840233570
STPT(10)	2302050080645617031	0 2 168 170 198 200 228 230 396 398	-716078912166
SPT(16)	2302050269235474179	0 8 32 38 44 78 204 212 330 338 464 498 504 510 534 542	-527489055018
SPT(16)	2302050323654677493	0 8 36 78 80 128 134 140 144 150 156 204 206 248 276 284	-473069851704
SPT(16)	2302050850149870613	0 10 30 54 70 100 148 150 154 156 204 234 250 274 294 304	53425341416
STPT(10)	2302050962045764619	0 2 18 20 30 32 42 44 60 62	165321235422
SPT(16)	2302051395991504933	0 10 18 84 228 234 268 294 310 336 370 376 520 586 594 604	599266975736
SPT(16)	2302051514042932973	0 14 44 66 104 128 146 150 254 258 276 300 338 360 390 404	717318403776
SPT(16)	2302051554970506007	0 6 70 114 172 210 240 246 250 256 286 324 382 426 490 496	758245976810