Prime p₀= 2315807235700121921 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2315805864945473431	0 46 48 60 72 76 82 90 178 186 192 196 208 220 222 268	-1370754648490
SPT(16)	2315806073710027009	0 100 108 160 198 210 222 250 270 298 310 322 360 412 420 520	-1161990094912
SPT(16)	2315806324564533901	0 6 16 58 100 102 126 156 172 202 226 228 270 312 322 328	-911135588020
STPT(10)	2315806463503418297	0 2 24 26 42 44 60 62 84 86	-772196703624
STPT(10)	2315806847071465841	0 2 36 38 78 80 120 122 156 158	-388628656080
SPT(16)	2315807211182180783	0 116 156 158 170 198 200 228 236 264 266 294 306 308 348 464	-24517941138
STPT(10)	2315807248672126091	0 2 36 38 78 80 120 122 156 158	12972004170
SPT(16)	2315807538930732017	0 20 36 42 62 90 110 132 134 156 176 204 224 230 246 266	303230610096
SPT(16)	2315807589604918291	0 16 18 70 88 130 138 186 220 268 276 318 336 388 390 406	353904796370
STPT(10)	2315807786175986327	0 2 30 32 42 44 54 56 84 86	550475864406
SPT(16)	2315808278615692123	0 4 6 64 160 190 196 256 324 384 390 420 516 574 576 580	1042915570202